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Finding the Fourth Proportional to 488.84, 674.18 and 435.74

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Solution

The fourth proportional to 488.84, 674.18 and 435.74 is: 600.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.84 : 674.18 = 435.74 : x
  2. Step 2: Convert to fraction form
    488.84/674.18 = 435.74/x
  3. Step 3: Cross multiply
    488.84x = 674.18 × 435.74
  4. Step 4: Simplify right side
    488.84x = 293,767.19
  5. Step 5: Solve for x
    x = 293,767.19/488.84
  6. Step 6: Final answer
    x = 600.95

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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.