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Finding the Fourth Proportional to 597.96, 895.59 and 475.20

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Solution

The fourth proportional to 597.96, 895.59 and 475.20 is: 711.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.96 : 895.59 = 475.20 : x
  2. Step 2: Convert to fraction form
    597.96/895.59 = 475.20/x
  3. Step 3: Cross multiply
    597.96x = 895.59 × 475.20
  4. Step 4: Simplify right side
    597.96x = 425,584.37
  5. Step 5: Solve for x
    x = 425,584.37/597.96
  6. Step 6: Final answer
    x = 711.73

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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.