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Finding the Fourth Proportional to 370.60, 510.88 and 283.12

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Solution

The fourth proportional to 370.60, 510.88 and 283.12 is: 390.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.60 : 510.88 = 283.12 : x
  2. Step 2: Convert to fraction form
    370.60/510.88 = 283.12/x
  3. Step 3: Cross multiply
    370.60x = 510.88 × 283.12
  4. Step 4: Simplify right side
    370.60x = 144,640.35
  5. Step 5: Solve for x
    x = 144,640.35/370.60
  6. Step 6: Final answer
    x = 390.29

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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.