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Finding the Fourth Proportional to 517.77, 714.23 and 307.74

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Solution

The fourth proportional to 517.77, 714.23 and 307.74 is: 424.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.77 : 714.23 = 307.74 : x
  2. Step 2: Convert to fraction form
    517.77/714.23 = 307.74/x
  3. Step 3: Cross multiply
    517.77x = 714.23 × 307.74
  4. Step 4: Simplify right side
    517.77x = 219,792.03
  5. Step 5: Solve for x
    x = 219,792.03/517.77
  6. Step 6: Final answer
    x = 424.50

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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.