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Finding the Fourth Proportional to 529.84, 795.40 and 298.92

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Solution

The fourth proportional to 529.84, 795.40 and 298.92 is: 448.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.84 : 795.40 = 298.92 : x
  2. Step 2: Convert to fraction form
    529.84/795.40 = 298.92/x
  3. Step 3: Cross multiply
    529.84x = 795.40 × 298.92
  4. Step 4: Simplify right side
    529.84x = 237,760.97
  5. Step 5: Solve for x
    x = 237,760.97/529.84
  6. Step 6: Final answer
    x = 448.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.