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Finding the Fourth Proportional to 372.64, 558.66 and 264.16

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Solution

The fourth proportional to 372.64, 558.66 and 264.16 is: 396.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.64 : 558.66 = 264.16 : x
  2. Step 2: Convert to fraction form
    372.64/558.66 = 264.16/x
  3. Step 3: Cross multiply
    372.64x = 558.66 × 264.16
  4. Step 4: Simplify right side
    372.64x = 147,575.63
  5. Step 5: Solve for x
    x = 147,575.63/372.64
  6. Step 6: Final answer
    x = 396.03

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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.