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Finding the Fourth Proportional to 523.58, 785.48 and 177.04

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Solution

The fourth proportional to 523.58, 785.48 and 177.04 is: 265.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.58 : 785.48 = 177.04 : x
  2. Step 2: Convert to fraction form
    523.58/785.48 = 177.04/x
  3. Step 3: Cross multiply
    523.58x = 785.48 × 177.04
  4. Step 4: Simplify right side
    523.58x = 139,061.38
  5. Step 5: Solve for x
    x = 139,061.38/523.58
  6. Step 6: Final answer
    x = 265.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.