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Finding the Fourth Proportional to 658.06, 907.88 and 378.10

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Solution

The fourth proportional to 658.06, 907.88 and 378.10 is: 521.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.06 : 907.88 = 378.10 : x
  2. Step 2: Convert to fraction form
    658.06/907.88 = 378.10/x
  3. Step 3: Cross multiply
    658.06x = 907.88 × 378.10
  4. Step 4: Simplify right side
    658.06x = 343,269.43
  5. Step 5: Solve for x
    x = 343,269.43/658.06
  6. Step 6: Final answer
    x = 521.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.