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Finding the Fourth Proportional to 688.02, 949.55 and 478.14

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Solution

The fourth proportional to 688.02, 949.55 and 478.14 is: 659.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.02 : 949.55 = 478.14 : x
  2. Step 2: Convert to fraction form
    688.02/949.55 = 478.14/x
  3. Step 3: Cross multiply
    688.02x = 949.55 × 478.14
  4. Step 4: Simplify right side
    688.02x = 454,017.84
  5. Step 5: Solve for x
    x = 454,017.84/688.02
  6. Step 6: Final answer
    x = 659.89

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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.