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Finding the Fourth Proportional to 536.78, 740.13 and 497.90

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Solution

The fourth proportional to 536.78, 740.13 and 497.90 is: 686.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.78 : 740.13 = 497.90 : x
  2. Step 2: Convert to fraction form
    536.78/740.13 = 497.90/x
  3. Step 3: Cross multiply
    536.78x = 740.13 × 497.90
  4. Step 4: Simplify right side
    536.78x = 368,510.73
  5. Step 5: Solve for x
    x = 368,510.73/536.78
  6. Step 6: Final answer
    x = 686.52

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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.