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Finding the Fourth Proportional to 373.30, 558.80 and 257.46

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Solution

The fourth proportional to 373.30, 558.80 and 257.46 is: 385.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.30 : 558.80 = 257.46 : x
  2. Step 2: Convert to fraction form
    373.30/558.80 = 257.46/x
  3. Step 3: Cross multiply
    373.30x = 558.80 × 257.46
  4. Step 4: Simplify right side
    373.30x = 143,868.65
  5. Step 5: Solve for x
    x = 143,868.65/373.30
  6. Step 6: Final answer
    x = 385.40

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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.