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Finding the Fourth Proportional to 432.84, 598.54 and 363.74

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Solution

The fourth proportional to 432.84, 598.54 and 363.74 is: 502.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.84 : 598.54 = 363.74 : x
  2. Step 2: Convert to fraction form
    432.84/598.54 = 363.74/x
  3. Step 3: Cross multiply
    432.84x = 598.54 × 363.74
  4. Step 4: Simplify right side
    432.84x = 217,713.09
  5. Step 5: Solve for x
    x = 217,713.09/432.84
  6. Step 6: Final answer
    x = 502.98

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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.