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Finding the Fourth Proportional to 517.58, 714.30 and 307.82

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Solution

The fourth proportional to 517.58, 714.30 and 307.82 is: 424.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.58 : 714.30 = 307.82 : x
  2. Step 2: Convert to fraction form
    517.58/714.30 = 307.82/x
  3. Step 3: Cross multiply
    517.58x = 714.30 × 307.82
  4. Step 4: Simplify right side
    517.58x = 219,875.83
  5. Step 5: Solve for x
    x = 219,875.83/517.58
  6. Step 6: Final answer
    x = 424.82

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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.