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Finding the Fourth Proportional to 543.92, 750.60 and 509.12

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Solution

The fourth proportional to 543.92, 750.60 and 509.12 is: 702.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.92 : 750.60 = 509.12 : x
  2. Step 2: Convert to fraction form
    543.92/750.60 = 509.12/x
  3. Step 3: Cross multiply
    543.92x = 750.60 × 509.12
  4. Step 4: Simplify right side
    543.92x = 382,145.47
  5. Step 5: Solve for x
    x = 382,145.47/543.92
  6. Step 6: Final answer
    x = 702.58

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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.