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Finding the Fourth Proportional to 569.38, 785.65 and 383.19

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Solution

The fourth proportional to 569.38, 785.65 and 383.19 is: 528.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.38 : 785.65 = 383.19 : x
  2. Step 2: Convert to fraction form
    569.38/785.65 = 383.19/x
  3. Step 3: Cross multiply
    569.38x = 785.65 × 383.19
  4. Step 4: Simplify right side
    569.38x = 301,053.22
  5. Step 5: Solve for x
    x = 301,053.22/569.38
  6. Step 6: Final answer
    x = 528.74

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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.