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Finding the Fourth Proportional to 678.18, 1,017.14 and 312.92

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Solution

The fourth proportional to 678.18, 1,017.14 and 312.92 is: 469.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.18 : 1,017.14 = 312.92 : x
  2. Step 2: Convert to fraction form
    678.18/1,017.14 = 312.92/x
  3. Step 3: Cross multiply
    678.18x = 1,017.14 × 312.92
  4. Step 4: Simplify right side
    678.18x = 318,283.45
  5. Step 5: Solve for x
    x = 318,283.45/678.18
  6. Step 6: Final answer
    x = 469.32

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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.