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Finding the Fourth Proportional to 524.01, 785.39 and 369.71

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Solution

The fourth proportional to 524.01, 785.39 and 369.71 is: 554.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.01 : 785.39 = 369.71 : x
  2. Step 2: Convert to fraction form
    524.01/785.39 = 369.71/x
  3. Step 3: Cross multiply
    524.01x = 785.39 × 369.71
  4. Step 4: Simplify right side
    524.01x = 290,360.76
  5. Step 5: Solve for x
    x = 290,360.76/524.01
  6. Step 6: Final answer
    x = 554.11

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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.