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Finding the Fourth Proportional to 529.34, 730.78 and 319.57

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Solution

The fourth proportional to 529.34, 730.78 and 319.57 is: 441.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.34 : 730.78 = 319.57 : x
  2. Step 2: Convert to fraction form
    529.34/730.78 = 319.57/x
  3. Step 3: Cross multiply
    529.34x = 730.78 × 319.57
  4. Step 4: Simplify right side
    529.34x = 233,532.74
  5. Step 5: Solve for x
    x = 233,532.74/529.34
  6. Step 6: Final answer
    x = 441.18

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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.