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Finding the Fourth Proportional to 596.32, 895.17 and 271.69

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Solution

The fourth proportional to 596.32, 895.17 and 271.69 is: 407.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.32 : 895.17 = 271.69 : x
  2. Step 2: Convert to fraction form
    596.32/895.17 = 271.69/x
  3. Step 3: Cross multiply
    596.32x = 895.17 × 271.69
  4. Step 4: Simplify right side
    596.32x = 243,208.74
  5. Step 5: Solve for x
    x = 243,208.74/596.32
  6. Step 6: Final answer
    x = 407.85

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1.5x scale

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.