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Finding the Fourth Proportional to 598.51, 825.07 and 432.46

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Solution

The fourth proportional to 598.51, 825.07 and 432.46 is: 596.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.51 : 825.07 = 432.46 : x
  2. Step 2: Convert to fraction form
    598.51/825.07 = 432.46/x
  3. Step 3: Cross multiply
    598.51x = 825.07 × 432.46
  4. Step 4: Simplify right side
    598.51x = 356,807.71
  5. Step 5: Solve for x
    x = 356,807.71/598.51
  6. Step 6: Final answer
    x = 596.16

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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.