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Finding the Fourth Proportional to 524.19, 785.74 and 260.47

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Solution

The fourth proportional to 524.19, 785.74 and 260.47 is: 390.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.19 : 785.74 = 260.47 : x
  2. Step 2: Convert to fraction form
    524.19/785.74 = 260.47/x
  3. Step 3: Cross multiply
    524.19x = 785.74 × 260.47
  4. Step 4: Simplify right side
    524.19x = 204,661.70
  5. Step 5: Solve for x
    x = 204,661.70/524.19
  6. Step 6: Final answer
    x = 390.43

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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.