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Finding the Fourth Proportional to 632.76, 873.12 and 508.80

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Solution

The fourth proportional to 632.76, 873.12 and 508.80 is: 702.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.76 : 873.12 = 508.80 : x
  2. Step 2: Convert to fraction form
    632.76/873.12 = 508.80/x
  3. Step 3: Cross multiply
    632.76x = 873.12 × 508.80
  4. Step 4: Simplify right side
    632.76x = 444,243.46
  5. Step 5: Solve for x
    x = 444,243.46/632.76
  6. Step 6: Final answer
    x = 702.07

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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.