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Finding the Fourth Proportional to 518.18, 714.84 and 407.66

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Solution

The fourth proportional to 518.18, 714.84 and 407.66 is: 562.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.18 : 714.84 = 407.66 : x
  2. Step 2: Convert to fraction form
    518.18/714.84 = 407.66/x
  3. Step 3: Cross multiply
    518.18x = 714.84 × 407.66
  4. Step 4: Simplify right side
    518.18x = 291,411.67
  5. Step 5: Solve for x
    x = 291,411.67/518.18
  6. Step 6: Final answer
    x = 562.38

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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.