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Finding the Fourth Proportional to 497.64, 686.87 and 340.34

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Solution

The fourth proportional to 497.64, 686.87 and 340.34 is: 469.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.64 : 686.87 = 340.34 : x
  2. Step 2: Convert to fraction form
    497.64/686.87 = 340.34/x
  3. Step 3: Cross multiply
    497.64x = 686.87 × 340.34
  4. Step 4: Simplify right side
    497.64x = 233,764.20
  5. Step 5: Solve for x
    x = 233,764.20/497.64
  6. Step 6: Final answer
    x = 469.75

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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.