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Finding the Fourth Proportional to 477.14, 659.16 and 454.64

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Solution

The fourth proportional to 477.14, 659.16 and 454.64 is: 628.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.14 : 659.16 = 454.64 : x
  2. Step 2: Convert to fraction form
    477.14/659.16 = 454.64/x
  3. Step 3: Cross multiply
    477.14x = 659.16 × 454.64
  4. Step 4: Simplify right side
    477.14x = 299,677.21
  5. Step 5: Solve for x
    x = 299,677.21/477.14
  6. Step 6: Final answer
    x = 628.08

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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.