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Finding the Fourth Proportional to 530.40, 794.85 and 296.18

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Solution

The fourth proportional to 530.40, 794.85 and 296.18 is: 443.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.40 : 794.85 = 296.18 : x
  2. Step 2: Convert to fraction form
    530.40/794.85 = 296.18/x
  3. Step 3: Cross multiply
    530.40x = 794.85 × 296.18
  4. Step 4: Simplify right side
    530.40x = 235,418.67
  5. Step 5: Solve for x
    x = 235,418.67/530.40
  6. Step 6: Final answer
    x = 443.85

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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.