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Finding the Fourth Proportional to 377.56, 520.84 and 284.16

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Solution

The fourth proportional to 377.56, 520.84 and 284.16 is: 392.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.56 : 520.84 = 284.16 : x
  2. Step 2: Convert to fraction form
    377.56/520.84 = 284.16/x
  3. Step 3: Cross multiply
    377.56x = 520.84 × 284.16
  4. Step 4: Simplify right side
    377.56x = 148,001.89
  5. Step 5: Solve for x
    x = 148,001.89/377.56
  6. Step 6: Final answer
    x = 392.00

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Why These Related Problems?

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