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Finding the Fourth Proportional to 478.40, 714.13 and 444.64

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Solution

The fourth proportional to 478.40, 714.13 and 444.64 is: 663.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.40 : 714.13 = 444.64 : x
  2. Step 2: Convert to fraction form
    478.40/714.13 = 444.64/x
  3. Step 3: Cross multiply
    478.40x = 714.13 × 444.64
  4. Step 4: Simplify right side
    478.40x = 317,530.76
  5. Step 5: Solve for x
    x = 317,530.76/478.40
  6. Step 6: Final answer
    x = 663.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.