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Finding the Fourth Proportional to 938.10, 1,407.06 and 411.06

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Solution

The fourth proportional to 938.10, 1,407.06 and 411.06 is: 616.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.10 : 1,407.06 = 411.06 : x
  2. Step 2: Convert to fraction form
    938.10/1,407.06 = 411.06/x
  3. Step 3: Cross multiply
    938.10x = 1,407.06 × 411.06
  4. Step 4: Simplify right side
    938.10x = 578,386.08
  5. Step 5: Solve for x
    x = 578,386.08/938.10
  6. Step 6: Final answer
    x = 616.55

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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.