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Finding the Fourth Proportional to 598.14, 825.72 and 432.72

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Solution

The fourth proportional to 598.14, 825.72 and 432.72 is: 597.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.14 : 825.72 = 432.72 : x
  2. Step 2: Convert to fraction form
    598.14/825.72 = 432.72/x
  3. Step 3: Cross multiply
    598.14x = 825.72 × 432.72
  4. Step 4: Simplify right side
    598.14x = 357,305.56
  5. Step 5: Solve for x
    x = 357,305.56/598.14
  6. Step 6: Final answer
    x = 597.36

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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.