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Finding the Fourth Proportional to 536.69, 741.39 and 497

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Solution

The fourth proportional to 536.69, 741.39 and 497 is: 686.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.69 : 741.39 = 497 : x
  2. Step 2: Convert to fraction form
    536.69/741.39 = 497/x
  3. Step 3: Cross multiply
    536.69x = 741.39 × 497
  4. Step 4: Simplify right side
    536.69x = 368,470.83
  5. Step 5: Solve for x
    x = 368,470.83/536.69
  6. Step 6: Final answer
    x = 686.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.