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Finding the Fourth Proportional to 659.71, 910.15 and 508.34

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Solution

The fourth proportional to 659.71, 910.15 and 508.34 is: 701.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.71 : 910.15 = 508.34 : x
  2. Step 2: Convert to fraction form
    659.71/910.15 = 508.34/x
  3. Step 3: Cross multiply
    659.71x = 910.15 × 508.34
  4. Step 4: Simplify right side
    659.71x = 462,658.56
  5. Step 5: Solve for x
    x = 462,658.56/659.71
  6. Step 6: Final answer
    x = 701.31

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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.