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Finding the Fourth Proportional to 532.30, 734.40 and 311.08

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Solution

The fourth proportional to 532.30, 734.40 and 311.08 is: 429.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.30 : 734.40 = 311.08 : x
  2. Step 2: Convert to fraction form
    532.30/734.40 = 311.08/x
  3. Step 3: Cross multiply
    532.30x = 734.40 × 311.08
  4. Step 4: Simplify right side
    532.30x = 228,457.15
  5. Step 5: Solve for x
    x = 228,457.15/532.30
  6. Step 6: Final answer
    x = 429.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.