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Finding the Fourth Proportional to 597.92, 895.62 and 354.31

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Solution

The fourth proportional to 597.92, 895.62 and 354.31 is: 530.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.92 : 895.62 = 354.31 : x
  2. Step 2: Convert to fraction form
    597.92/895.62 = 354.31/x
  3. Step 3: Cross multiply
    597.92x = 895.62 × 354.31
  4. Step 4: Simplify right side
    597.92x = 317,327.12
  5. Step 5: Solve for x
    x = 317,327.12/597.92
  6. Step 6: Final answer
    x = 530.72

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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.