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Finding the Fourth Proportional to 529.61, 793.19 and 298.76

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Solution

The fourth proportional to 529.61, 793.19 and 298.76 is: 447.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.61 : 793.19 = 298.76 : x
  2. Step 2: Convert to fraction form
    529.61/793.19 = 298.76/x
  3. Step 3: Cross multiply
    529.61x = 793.19 × 298.76
  4. Step 4: Simplify right side
    529.61x = 236,970.23
  5. Step 5: Solve for x
    x = 236,970.23/529.61
  6. Step 6: Final answer
    x = 447.45

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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.