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Finding the Fourth Proportional to 475.56, 656.10 and 473.40

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Solution

The fourth proportional to 475.56, 656.10 and 473.40 is: 653.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.56 : 656.10 = 473.40 : x
  2. Step 2: Convert to fraction form
    475.56/656.10 = 473.40/x
  3. Step 3: Cross multiply
    475.56x = 656.10 × 473.40
  4. Step 4: Simplify right side
    475.56x = 310,597.74
  5. Step 5: Solve for x
    x = 310,597.74/475.56
  6. Step 6: Final answer
    x = 653.12

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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.