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Finding the Fourth Proportional to 373.88, 564.16 and 358.90

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Solution

The fourth proportional to 373.88, 564.16 and 358.90 is: 541.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.88 : 564.16 = 358.90 : x
  2. Step 2: Convert to fraction form
    373.88/564.16 = 358.90/x
  3. Step 3: Cross multiply
    373.88x = 564.16 × 358.90
  4. Step 4: Simplify right side
    373.88x = 202,477.02
  5. Step 5: Solve for x
    x = 202,477.02/373.88
  6. Step 6: Final answer
    x = 541.56

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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.