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Finding the Fourth Proportional to 597.46, 895.23 and 469.78

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Solution

The fourth proportional to 597.46, 895.23 and 469.78 is: 703.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.46 : 895.23 = 469.78 : x
  2. Step 2: Convert to fraction form
    597.46/895.23 = 469.78/x
  3. Step 3: Cross multiply
    597.46x = 895.23 × 469.78
  4. Step 4: Simplify right side
    597.46x = 420,561.15
  5. Step 5: Solve for x
    x = 420,561.15/597.46
  6. Step 6: Final answer
    x = 703.92

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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.