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Finding the Fourth Proportional to 530.89, 733.01 and 344.50

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Solution

The fourth proportional to 530.89, 733.01 and 344.50 is: 475.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.89 : 733.01 = 344.50 : x
  2. Step 2: Convert to fraction form
    530.89/733.01 = 344.50/x
  3. Step 3: Cross multiply
    530.89x = 733.01 × 344.50
  4. Step 4: Simplify right side
    530.89x = 252,518.39
  5. Step 5: Solve for x
    x = 252,518.39/530.89
  6. Step 6: Final answer
    x = 475.65

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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.