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Finding the Fourth Proportional to 462.61, 693.49 and 277.57

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Solution

The fourth proportional to 462.61, 693.49 and 277.57 is: 416.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.61 : 693.49 = 277.57 : x
  2. Step 2: Convert to fraction form
    462.61/693.49 = 277.57/x
  3. Step 3: Cross multiply
    462.61x = 693.49 × 277.57
  4. Step 4: Simplify right side
    462.61x = 192,492.02
  5. Step 5: Solve for x
    x = 192,492.02/462.61
  6. Step 6: Final answer
    x = 416.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.