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Finding the Fourth Proportional to 524.23, 785.95 and 177.35

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Solution

The fourth proportional to 524.23, 785.95 and 177.35 is: 265.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.23 : 785.95 = 177.35 : x
  2. Step 2: Convert to fraction form
    524.23/785.95 = 177.35/x
  3. Step 3: Cross multiply
    524.23x = 785.95 × 177.35
  4. Step 4: Simplify right side
    524.23x = 139,383.86
  5. Step 5: Solve for x
    x = 139,383.86/524.23
  6. Step 6: Final answer
    x = 265.88

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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.