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Finding the Fourth Proportional to 362.94, 542.06 and 314.34

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Solution

The fourth proportional to 362.94, 542.06 and 314.34 is: 469.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.94 : 542.06 = 314.34 : x
  2. Step 2: Convert to fraction form
    362.94/542.06 = 314.34/x
  3. Step 3: Cross multiply
    362.94x = 542.06 × 314.34
  4. Step 4: Simplify right side
    362.94x = 170,389.57
  5. Step 5: Solve for x
    x = 170,389.57/362.94
  6. Step 6: Final answer
    x = 469.47

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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.