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Finding the Fourth Proportional to 475.02, 653.85 and 456.57

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Solution

The fourth proportional to 475.02, 653.85 and 456.57 is: 628.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.02 : 653.85 = 456.57 : x
  2. Step 2: Convert to fraction form
    475.02/653.85 = 456.57/x
  3. Step 3: Cross multiply
    475.02x = 653.85 × 456.57
  4. Step 4: Simplify right side
    475.02x = 298,528.29
  5. Step 5: Solve for x
    x = 298,528.29/475.02
  6. Step 6: Final answer
    x = 628.45

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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.