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Finding the Fourth Proportional to 587.66, 808.52 and 508.73

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Solution

The fourth proportional to 587.66, 808.52 and 508.73 is: 699.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.66 : 808.52 = 508.73 : x
  2. Step 2: Convert to fraction form
    587.66/808.52 = 508.73/x
  3. Step 3: Cross multiply
    587.66x = 808.52 × 508.73
  4. Step 4: Simplify right side
    587.66x = 411,311.79
  5. Step 5: Solve for x
    x = 411,311.79/587.66
  6. Step 6: Final answer
    x = 699.92

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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.