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Finding the Fourth Proportional to 591.02, 814.87 and 433.52

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Solution

The fourth proportional to 591.02, 814.87 and 433.52 is: 597.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.02 : 814.87 = 433.52 : x
  2. Step 2: Convert to fraction form
    591.02/814.87 = 433.52/x
  3. Step 3: Cross multiply
    591.02x = 814.87 × 433.52
  4. Step 4: Simplify right side
    591.02x = 353,262.44
  5. Step 5: Solve for x
    x = 353,262.44/591.02
  6. Step 6: Final answer
    x = 597.72

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1.5x scale

Why These Related Problems?

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