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Finding the Fourth Proportional to 501.64, 752.22 and 424.36

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Solution

The fourth proportional to 501.64, 752.22 and 424.36 is: 636.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.64 : 752.22 = 424.36 : x
  2. Step 2: Convert to fraction form
    501.64/752.22 = 424.36/x
  3. Step 3: Cross multiply
    501.64x = 752.22 × 424.36
  4. Step 4: Simplify right side
    501.64x = 319,212.08
  5. Step 5: Solve for x
    x = 319,212.08/501.64
  6. Step 6: Final answer
    x = 636.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.