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Finding the Fourth Proportional to 499.60, 688.66 and 375.08

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Solution

The fourth proportional to 499.60, 688.66 and 375.08 is: 517.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.60 : 688.66 = 375.08 : x
  2. Step 2: Convert to fraction form
    499.60/688.66 = 375.08/x
  3. Step 3: Cross multiply
    499.60x = 688.66 × 375.08
  4. Step 4: Simplify right side
    499.60x = 258,302.59
  5. Step 5: Solve for x
    x = 258,302.59/499.60
  6. Step 6: Final answer
    x = 517.02

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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.