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Finding the Fourth Proportional to 476.40, 657.24 and 345.12

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Solution

The fourth proportional to 476.40, 657.24 and 345.12 is: 476.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.40 : 657.24 = 345.12 : x
  2. Step 2: Convert to fraction form
    476.40/657.24 = 345.12/x
  3. Step 3: Cross multiply
    476.40x = 657.24 × 345.12
  4. Step 4: Simplify right side
    476.40x = 226,826.67
  5. Step 5: Solve for x
    x = 226,826.67/476.40
  6. Step 6: Final answer
    x = 476.13

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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.