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Finding the Fourth Proportional to 596.48, 895.10 and 433.76

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Solution

The fourth proportional to 596.48, 895.10 and 433.76 is: 650.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.48 : 895.10 = 433.76 : x
  2. Step 2: Convert to fraction form
    596.48/895.10 = 433.76/x
  3. Step 3: Cross multiply
    596.48x = 895.10 × 433.76
  4. Step 4: Simplify right side
    596.48x = 388,258.58
  5. Step 5: Solve for x
    x = 388,258.58/596.48
  6. Step 6: Final answer
    x = 650.92

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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.