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Finding the Fourth Proportional to 432.04, 598.73 and 423.83

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Solution

The fourth proportional to 432.04, 598.73 and 423.83 is: 587.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.04 : 598.73 = 423.83 : x
  2. Step 2: Convert to fraction form
    432.04/598.73 = 423.83/x
  3. Step 3: Cross multiply
    432.04x = 598.73 × 423.83
  4. Step 4: Simplify right side
    432.04x = 253,759.74
  5. Step 5: Solve for x
    x = 253,759.74/432.04
  6. Step 6: Final answer
    x = 587.35

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.