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Finding the Fourth Proportional to 569.64, 785.22 and 362.28

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Solution

The fourth proportional to 569.64, 785.22 and 362.28 is: 499.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.64 : 785.22 = 362.28 : x
  2. Step 2: Convert to fraction form
    569.64/785.22 = 362.28/x
  3. Step 3: Cross multiply
    569.64x = 785.22 × 362.28
  4. Step 4: Simplify right side
    569.64x = 284,469.50
  5. Step 5: Solve for x
    x = 284,469.50/569.64
  6. Step 6: Final answer
    x = 499.38

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.