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Finding the Fourth Proportional to 499, 748.86 and 435.64

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Solution

The fourth proportional to 499, 748.86 and 435.64 is: 653.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    499 : 748.86 = 435.64 : x
  2. Step 2: Convert to fraction form
    499/748.86 = 435.64/x
  3. Step 3: Cross multiply
    499x = 748.86 × 435.64
  4. Step 4: Simplify right side
    499x = 326,233.37
  5. Step 5: Solve for x
    x = 326,233.37/499
  6. Step 6: Final answer
    x = 653.77

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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.