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Finding the Fourth Proportional to 501.03, 747.88 and 464.89

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Solution

The fourth proportional to 501.03, 747.88 and 464.89 is: 693.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.03 : 747.88 = 464.89 : x
  2. Step 2: Convert to fraction form
    501.03/747.88 = 464.89/x
  3. Step 3: Cross multiply
    501.03x = 747.88 × 464.89
  4. Step 4: Simplify right side
    501.03x = 347,679.61
  5. Step 5: Solve for x
    x = 347,679.61/501.03
  6. Step 6: Final answer
    x = 693.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.