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Finding the Fourth Proportional to 473.46, 653.56 and 458.08

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Solution

The fourth proportional to 473.46, 653.56 and 458.08 is: 632.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.46 : 653.56 = 458.08 : x
  2. Step 2: Convert to fraction form
    473.46/653.56 = 458.08/x
  3. Step 3: Cross multiply
    473.46x = 653.56 × 458.08
  4. Step 4: Simplify right side
    473.46x = 299,382.76
  5. Step 5: Solve for x
    x = 299,382.76/473.46
  6. Step 6: Final answer
    x = 632.33

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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.