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Finding the Fourth Proportional to 597.64, 823.80 and 432.16

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Solution

The fourth proportional to 597.64, 823.80 and 432.16 is: 595.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.64 : 823.80 = 432.16 : x
  2. Step 2: Convert to fraction form
    597.64/823.80 = 432.16/x
  3. Step 3: Cross multiply
    597.64x = 823.80 × 432.16
  4. Step 4: Simplify right side
    597.64x = 356,013.41
  5. Step 5: Solve for x
    x = 356,013.41/597.64
  6. Step 6: Final answer
    x = 595.70

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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.