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Finding the Fourth Proportional to 660.38, 990.32 and 530.06

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Solution

The fourth proportional to 660.38, 990.32 and 530.06 is: 794.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.38 : 990.32 = 530.06 : x
  2. Step 2: Convert to fraction form
    660.38/990.32 = 530.06/x
  3. Step 3: Cross multiply
    660.38x = 990.32 × 530.06
  4. Step 4: Simplify right side
    660.38x = 524,921.42
  5. Step 5: Solve for x
    x = 524,921.42/660.38
  6. Step 6: Final answer
    x = 794.88

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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.