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Finding the Fourth Proportional to 524.16, 785.76 and 195.03

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Solution

The fourth proportional to 524.16, 785.76 and 195.03 is: 292.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.16 : 785.76 = 195.03 : x
  2. Step 2: Convert to fraction form
    524.16/785.76 = 195.03/x
  3. Step 3: Cross multiply
    524.16x = 785.76 × 195.03
  4. Step 4: Simplify right side
    524.16x = 153,246.77
  5. Step 5: Solve for x
    x = 153,246.77/524.16
  6. Step 6: Final answer
    x = 292.37

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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.