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Finding the Fourth Proportional to 476.47, 714.56 and 256.96

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Solution

The fourth proportional to 476.47, 714.56 and 256.96 is: 385.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.47 : 714.56 = 256.96 : x
  2. Step 2: Convert to fraction form
    476.47/714.56 = 256.96/x
  3. Step 3: Cross multiply
    476.47x = 714.56 × 256.96
  4. Step 4: Simplify right side
    476.47x = 183,613.34
  5. Step 5: Solve for x
    x = 183,613.34/476.47
  6. Step 6: Final answer
    x = 385.36

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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.