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Finding the Fourth Proportional to 497.58, 686.71 and 340.15

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Solution

The fourth proportional to 497.58, 686.71 and 340.15 is: 469.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.58 : 686.71 = 340.15 : x
  2. Step 2: Convert to fraction form
    497.58/686.71 = 340.15/x
  3. Step 3: Cross multiply
    497.58x = 686.71 × 340.15
  4. Step 4: Simplify right side
    497.58x = 233,584.40
  5. Step 5: Solve for x
    x = 233,584.40/497.58
  6. Step 6: Final answer
    x = 469.44

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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.