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Finding the Fourth Proportional to 524.34, 785.60 and 377.83

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Solution

The fourth proportional to 524.34, 785.60 and 377.83 is: 566.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.34 : 785.60 = 377.83 : x
  2. Step 2: Convert to fraction form
    524.34/785.60 = 377.83/x
  3. Step 3: Cross multiply
    524.34x = 785.60 × 377.83
  4. Step 4: Simplify right side
    524.34x = 296,823.76
  5. Step 5: Solve for x
    x = 296,823.76/524.34
  6. Step 6: Final answer
    x = 566.09

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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.