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Finding the Fourth Proportional to 543.82, 746.54 and 500.08

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Solution

The fourth proportional to 543.82, 746.54 and 500.08 is: 686.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.82 : 746.54 = 500.08 : x
  2. Step 2: Convert to fraction form
    543.82/746.54 = 500.08/x
  3. Step 3: Cross multiply
    543.82x = 746.54 × 500.08
  4. Step 4: Simplify right side
    543.82x = 373,329.72
  5. Step 5: Solve for x
    x = 373,329.72/543.82
  6. Step 6: Final answer
    x = 686.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.