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Finding the Fourth Proportional to 632.24, 870.36 and 506.96

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Solution

The fourth proportional to 632.24, 870.36 and 506.96 is: 697.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.24 : 870.36 = 506.96 : x
  2. Step 2: Convert to fraction form
    632.24/870.36 = 506.96/x
  3. Step 3: Cross multiply
    632.24x = 870.36 × 506.96
  4. Step 4: Simplify right side
    632.24x = 441,237.71
  5. Step 5: Solve for x
    x = 441,237.71/632.24
  6. Step 6: Final answer
    x = 697.90

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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.