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Finding the Fourth Proportional to 597.16, 895.84 and 353.86

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Solution

The fourth proportional to 597.16, 895.84 and 353.86 is: 530.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.16 : 895.84 = 353.86 : x
  2. Step 2: Convert to fraction form
    597.16/895.84 = 353.86/x
  3. Step 3: Cross multiply
    597.16x = 895.84 × 353.86
  4. Step 4: Simplify right side
    597.16x = 317,001.94
  5. Step 5: Solve for x
    x = 317,001.94/597.16
  6. Step 6: Final answer
    x = 530.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.