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Finding the Fourth Proportional to 373.64, 563.07 and 360.20

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Solution

The fourth proportional to 373.64, 563.07 and 360.20 is: 542.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.64 : 563.07 = 360.20 : x
  2. Step 2: Convert to fraction form
    373.64/563.07 = 360.20/x
  3. Step 3: Cross multiply
    373.64x = 563.07 × 360.20
  4. Step 4: Simplify right side
    373.64x = 202,817.81
  5. Step 5: Solve for x
    x = 202,817.81/373.64
  6. Step 6: Final answer
    x = 542.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.