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Finding the Fourth Proportional to 529.59, 730.67 and 319.74

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Solution

The fourth proportional to 529.59, 730.67 and 319.74 is: 441.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.59 : 730.67 = 319.74 : x
  2. Step 2: Convert to fraction form
    529.59/730.67 = 319.74/x
  3. Step 3: Cross multiply
    529.59x = 730.67 × 319.74
  4. Step 4: Simplify right side
    529.59x = 233,622.83
  5. Step 5: Solve for x
    x = 233,622.83/529.59
  6. Step 6: Final answer
    x = 441.14

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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.