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Finding the Fourth Proportional to 434.54, 598.84 and 423.74

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Solution

The fourth proportional to 434.54, 598.84 and 423.74 is: 583.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.54 : 598.84 = 423.74 : x
  2. Step 2: Convert to fraction form
    434.54/598.84 = 423.74/x
  3. Step 3: Cross multiply
    434.54x = 598.84 × 423.74
  4. Step 4: Simplify right side
    434.54x = 253,748.41
  5. Step 5: Solve for x
    x = 253,748.41/434.54
  6. Step 6: Final answer
    x = 583.95

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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.