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Finding the Fourth Proportional to 499.47, 748.90 and 435.08

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Solution

The fourth proportional to 499.47, 748.90 and 435.08 is: 652.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.47 : 748.90 = 435.08 : x
  2. Step 2: Convert to fraction form
    499.47/748.90 = 435.08/x
  3. Step 3: Cross multiply
    499.47x = 748.90 × 435.08
  4. Step 4: Simplify right side
    499.47x = 325,825.49
  5. Step 5: Solve for x
    x = 325,825.49/499.47
  6. Step 6: Final answer
    x = 652.34

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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.