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Finding the Fourth Proportional to 529.41, 730.62 and 296.52

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Solution

The fourth proportional to 529.41, 730.62 and 296.52 is: 409.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.41 : 730.62 = 296.52 : x
  2. Step 2: Convert to fraction form
    529.41/730.62 = 296.52/x
  3. Step 3: Cross multiply
    529.41x = 730.62 × 296.52
  4. Step 4: Simplify right side
    529.41x = 216,643.44
  5. Step 5: Solve for x
    x = 216,643.44/529.41
  6. Step 6: Final answer
    x = 409.22

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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.