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Finding the Fourth Proportional to 633.20, 873.50 and 509.01

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Solution

The fourth proportional to 633.20, 873.50 and 509.01 is: 702.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.20 : 873.50 = 509.01 : x
  2. Step 2: Convert to fraction form
    633.20/873.50 = 509.01/x
  3. Step 3: Cross multiply
    633.20x = 873.50 × 509.01
  4. Step 4: Simplify right side
    633.20x = 444,617.69
  5. Step 5: Solve for x
    x = 444,617.69/633.20
  6. Step 6: Final answer
    x = 702.18

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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.