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Finding the Fourth Proportional to 500.88, 749.88 and 464.88

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Solution

The fourth proportional to 500.88, 749.88 and 464.88 is: 695.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.88 : 749.88 = 464.88 : x
  2. Step 2: Convert to fraction form
    500.88/749.88 = 464.88/x
  3. Step 3: Cross multiply
    500.88x = 749.88 × 464.88
  4. Step 4: Simplify right side
    500.88x = 348,604.21
  5. Step 5: Solve for x
    x = 348,604.21/500.88
  6. Step 6: Final answer
    x = 695.98

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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.