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Finding the Fourth Proportional to 501.60, 702.24 and 501.60

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Solution

The fourth proportional to 501.60, 702.24 and 501.60 is: 702.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.60 : 702.24 = 501.60 : x
  2. Step 2: Convert to fraction form
    501.60/702.24 = 501.60/x
  3. Step 3: Cross multiply
    501.60x = 702.24 × 501.60
  4. Step 4: Simplify right side
    501.60x = 352,243.58
  5. Step 5: Solve for x
    x = 352,243.58/501.60
  6. Step 6: Final answer
    x = 702.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.