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Finding the Fourth Proportional to 501.04, 752.10 and 420.76

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Solution

The fourth proportional to 501.04, 752.10 and 420.76 is: 631.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.04 : 752.10 = 420.76 : x
  2. Step 2: Convert to fraction form
    501.04/752.10 = 420.76/x
  3. Step 3: Cross multiply
    501.04x = 752.10 × 420.76
  4. Step 4: Simplify right side
    501.04x = 316,453.60
  5. Step 5: Solve for x
    x = 316,453.60/501.04
  6. Step 6: Final answer
    x = 631.59

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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.