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Finding the Fourth Proportional to 377.46, 564.84 and 295.74

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Solution

The fourth proportional to 377.46, 564.84 and 295.74 is: 442.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.46 : 564.84 = 295.74 : x
  2. Step 2: Convert to fraction form
    377.46/564.84 = 295.74/x
  3. Step 3: Cross multiply
    377.46x = 564.84 × 295.74
  4. Step 4: Simplify right side
    377.46x = 167,045.78
  5. Step 5: Solve for x
    x = 167,045.78/377.46
  6. Step 6: Final answer
    x = 442.55

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Why These Related Problems?

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