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Finding the Fourth Proportional to 597.43, 895.74 and 232.12

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Solution

The fourth proportional to 597.43, 895.74 and 232.12 is: 348.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.43 : 895.74 = 232.12 : x
  2. Step 2: Convert to fraction form
    597.43/895.74 = 232.12/x
  3. Step 3: Cross multiply
    597.43x = 895.74 × 232.12
  4. Step 4: Simplify right side
    597.43x = 207,919.17
  5. Step 5: Solve for x
    x = 207,919.17/597.43
  6. Step 6: Final answer
    x = 348.02

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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.