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Finding the Fourth Proportional to 373.45, 560.46 and 258.70

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Solution

The fourth proportional to 373.45, 560.46 and 258.70 is: 388.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.45 : 560.46 = 258.70 : x
  2. Step 2: Convert to fraction form
    373.45/560.46 = 258.70/x
  3. Step 3: Cross multiply
    373.45x = 560.46 × 258.70
  4. Step 4: Simplify right side
    373.45x = 144,989.32
  5. Step 5: Solve for x
    x = 144,989.32/373.45
  6. Step 6: Final answer
    x = 388.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.