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Finding the Fourth Proportional to 532.40, 734.58 and 311.40

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Solution

The fourth proportional to 532.40, 734.58 and 311.40 is: 429.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.40 : 734.58 = 311.40 : x
  2. Step 2: Convert to fraction form
    532.40/734.58 = 311.40/x
  3. Step 3: Cross multiply
    532.40x = 734.58 × 311.40
  4. Step 4: Simplify right side
    532.40x = 228,748.21
  5. Step 5: Solve for x
    x = 228,748.21/532.40
  6. Step 6: Final answer
    x = 429.66

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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.