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Finding the Fourth Proportional to 598.62, 826.44 and 432.66

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Solution

The fourth proportional to 598.62, 826.44 and 432.66 is: 597.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.62 : 826.44 = 432.66 : x
  2. Step 2: Convert to fraction form
    598.62/826.44 = 432.66/x
  3. Step 3: Cross multiply
    598.62x = 826.44 × 432.66
  4. Step 4: Simplify right side
    598.62x = 357,567.53
  5. Step 5: Solve for x
    x = 357,567.53/598.62
  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.