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Finding the Fourth Proportional to 374.16, 560.28 and 313.14

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Solution

The fourth proportional to 374.16, 560.28 and 313.14 is: 468.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.16 : 560.28 = 313.14 : x
  2. Step 2: Convert to fraction form
    374.16/560.28 = 313.14/x
  3. Step 3: Cross multiply
    374.16x = 560.28 × 313.14
  4. Step 4: Simplify right side
    374.16x = 175,446.08
  5. Step 5: Solve for x
    x = 175,446.08/374.16
  6. Step 6: Final answer
    x = 468.91

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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.