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Finding the Fourth Proportional to 500.44, 747.05 and 435.64

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Solution

The fourth proportional to 500.44, 747.05 and 435.64 is: 650.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.44 : 747.05 = 435.64 : x
  2. Step 2: Convert to fraction form
    500.44/747.05 = 435.64/x
  3. Step 3: Cross multiply
    500.44x = 747.05 × 435.64
  4. Step 4: Simplify right side
    500.44x = 325,444.86
  5. Step 5: Solve for x
    x = 325,444.86/500.44
  6. Step 6: Final answer
    x = 650.32

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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.