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Finding the Fourth Proportional to 596.22, 895.70 and 352.92

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Solution

The fourth proportional to 596.22, 895.70 and 352.92 is: 530.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.22 : 895.70 = 352.92 : x
  2. Step 2: Convert to fraction form
    596.22/895.70 = 352.92/x
  3. Step 3: Cross multiply
    596.22x = 895.70 × 352.92
  4. Step 4: Simplify right side
    596.22x = 316,110.44
  5. Step 5: Solve for x
    x = 316,110.44/596.22
  6. Step 6: Final answer
    x = 530.19

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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.