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Finding the Fourth Proportional to 599.52, 826.20 and 433.44

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Solution

The fourth proportional to 599.52, 826.20 and 433.44 is: 597.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.52 : 826.20 = 433.44 : x
  2. Step 2: Convert to fraction form
    599.52/826.20 = 433.44/x
  3. Step 3: Cross multiply
    599.52x = 826.20 × 433.44
  4. Step 4: Simplify right side
    599.52x = 358,108.13
  5. Step 5: Solve for x
    x = 358,108.13/599.52
  6. Step 6: Final answer
    x = 597.32

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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.