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Finding the Fourth Proportional to 497.58, 686.11 and 340.24

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Solution

The fourth proportional to 497.58, 686.11 and 340.24 is: 469.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.58 : 686.11 = 340.24 : x
  2. Step 2: Convert to fraction form
    497.58/686.11 = 340.24/x
  3. Step 3: Cross multiply
    497.58x = 686.11 × 340.24
  4. Step 4: Simplify right side
    497.58x = 233,437.79
  5. Step 5: Solve for x
    x = 233,437.79/497.58
  6. Step 6: Final answer
    x = 469.15

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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.