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Finding the Fourth Proportional to 530.79, 795.68 and 296.17

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Solution

The fourth proportional to 530.79, 795.68 and 296.17 is: 443.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.79 : 795.68 = 296.17 : x
  2. Step 2: Convert to fraction form
    530.79/795.68 = 296.17/x
  3. Step 3: Cross multiply
    530.79x = 795.68 × 296.17
  4. Step 4: Simplify right side
    530.79x = 235,656.55
  5. Step 5: Solve for x
    x = 235,656.55/530.79
  6. Step 6: Final answer
    x = 443.97

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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.