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Finding the Fourth Proportional to 684.17, 943.84 and 497.32

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Solution

The fourth proportional to 684.17, 943.84 and 497.32 is: 686.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.17 : 943.84 = 497.32 : x
  2. Step 2: Convert to fraction form
    684.17/943.84 = 497.32/x
  3. Step 3: Cross multiply
    684.17x = 943.84 × 497.32
  4. Step 4: Simplify right side
    684.17x = 469,386.91
  5. Step 5: Solve for x
    x = 469,386.91/684.17
  6. Step 6: Final answer
    x = 686.07

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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.