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Finding the Fourth Proportional to 632.44, 951.98 and 577.06

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Solution

The fourth proportional to 632.44, 951.98 and 577.06 is: 868.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.44 : 951.98 = 577.06 : x
  2. Step 2: Convert to fraction form
    632.44/951.98 = 577.06/x
  3. Step 3: Cross multiply
    632.44x = 951.98 × 577.06
  4. Step 4: Simplify right side
    632.44x = 549,349.58
  5. Step 5: Solve for x
    x = 549,349.58/632.44
  6. Step 6: Final answer
    x = 868.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.