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Finding the Fourth Proportional to 476.17, 714.36 and 147.11

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Solution

The fourth proportional to 476.17, 714.36 and 147.11 is: 220.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.17 : 714.36 = 147.11 : x
  2. Step 2: Convert to fraction form
    476.17/714.36 = 147.11/x
  3. Step 3: Cross multiply
    476.17x = 714.36 × 147.11
  4. Step 4: Simplify right side
    476.17x = 105,085.93
  5. Step 5: Solve for x
    x = 105,085.93/476.17
  6. Step 6: Final answer
    x = 220.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.