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Finding the Fourth Proportional to 608.16, 913.04 and 392.16

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Solution

The fourth proportional to 608.16, 913.04 and 392.16 is: 588.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.16 : 913.04 = 392.16 : x
  2. Step 2: Convert to fraction form
    608.16/913.04 = 392.16/x
  3. Step 3: Cross multiply
    608.16x = 913.04 × 392.16
  4. Step 4: Simplify right side
    608.16x = 358,057.77
  5. Step 5: Solve for x
    x = 358,057.77/608.16
  6. Step 6: Final answer
    x = 588.76

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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.