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Finding the Fourth Proportional to 714.64, 985.80 and 466

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Solution

The fourth proportional to 714.64, 985.80 and 466 is: 642.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.64 : 985.80 = 466 : x
  2. Step 2: Convert to fraction form
    714.64/985.80 = 466/x
  3. Step 3: Cross multiply
    714.64x = 985.80 × 466
  4. Step 4: Simplify right side
    714.64x = 459,382.80
  5. Step 5: Solve for x
    x = 459,382.80/714.64
  6. Step 6: Final answer
    x = 642.82

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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.