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Finding the Fourth Proportional to 377.36, 565.20 and 316.52

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Solution

The fourth proportional to 377.36, 565.20 and 316.52 is: 474.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.36 : 565.20 = 316.52 : x
  2. Step 2: Convert to fraction form
    377.36/565.20 = 316.52/x
  3. Step 3: Cross multiply
    377.36x = 565.20 × 316.52
  4. Step 4: Simplify right side
    377.36x = 178,897.10
  5. Step 5: Solve for x
    x = 178,897.10/377.36
  6. Step 6: Final answer
    x = 474.08

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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.