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Finding the Fourth Proportional to 569.12, 785.60 and 359.25

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Solution

The fourth proportional to 569.12, 785.60 and 359.25 is: 495.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.12 : 785.60 = 359.25 : x
  2. Step 2: Convert to fraction form
    569.12/785.60 = 359.25/x
  3. Step 3: Cross multiply
    569.12x = 785.60 × 359.25
  4. Step 4: Simplify right side
    569.12x = 282,225.00
  5. Step 5: Solve for x
    x = 282,225.00/569.12
  6. Step 6: Final answer
    x = 495.90

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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.