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Finding the Fourth Proportional to 373.58, 563.74 and 360.02

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Solution

The fourth proportional to 373.58, 563.74 and 360.02 is: 543.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.58 : 563.74 = 360.02 : x
  2. Step 2: Convert to fraction form
    373.58/563.74 = 360.02/x
  3. Step 3: Cross multiply
    373.58x = 563.74 × 360.02
  4. Step 4: Simplify right side
    373.58x = 202,957.67
  5. Step 5: Solve for x
    x = 202,957.67/373.58
  6. Step 6: Final answer
    x = 543.28

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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.