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Finding the Fourth Proportional to 597.75, 824.88 and 431.70

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Solution

The fourth proportional to 597.75, 824.88 and 431.70 is: 595.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.75 : 824.88 = 431.70 : x
  2. Step 2: Convert to fraction form
    597.75/824.88 = 431.70/x
  3. Step 3: Cross multiply
    597.75x = 824.88 × 431.70
  4. Step 4: Simplify right side
    597.75x = 356,100.70
  5. Step 5: Solve for x
    x = 356,100.70/597.75
  6. Step 6: Final answer
    x = 595.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.