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Finding the Fourth Proportional to 500.52, 689.76 and 417.36

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Solution

The fourth proportional to 500.52, 689.76 and 417.36 is: 575.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.52 : 689.76 = 417.36 : x
  2. Step 2: Convert to fraction form
    500.52/689.76 = 417.36/x
  3. Step 3: Cross multiply
    500.52x = 689.76 × 417.36
  4. Step 4: Simplify right side
    500.52x = 287,878.23
  5. Step 5: Solve for x
    x = 287,878.23/500.52
  6. Step 6: Final answer
    x = 575.16

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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.