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Finding the Fourth Proportional to 524.42, 785.72 and 387.80

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Solution

The fourth proportional to 524.42, 785.72 and 387.80 is: 581.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.42 : 785.72 = 387.80 : x
  2. Step 2: Convert to fraction form
    524.42/785.72 = 387.80/x
  3. Step 3: Cross multiply
    524.42x = 785.72 × 387.80
  4. Step 4: Simplify right side
    524.42x = 304,702.22
  5. Step 5: Solve for x
    x = 304,702.22/524.42
  6. Step 6: Final answer
    x = 581.03

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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.