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Finding the Fourth Proportional to 524.06, 722.81 and 346.71

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Solution

The fourth proportional to 524.06, 722.81 and 346.71 is: 478.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.06 : 722.81 = 346.71 : x
  2. Step 2: Convert to fraction form
    524.06/722.81 = 346.71/x
  3. Step 3: Cross multiply
    524.06x = 722.81 × 346.71
  4. Step 4: Simplify right side
    524.06x = 250,600.11
  5. Step 5: Solve for x
    x = 250,600.11/524.06
  6. Step 6: Final answer
    x = 478.19

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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.