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Finding the Fourth Proportional to 529.61, 794.93 and 324.58

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Solution

The fourth proportional to 529.61, 794.93 and 324.58 is: 487.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.61 : 794.93 = 324.58 : x
  2. Step 2: Convert to fraction form
    529.61/794.93 = 324.58/x
  3. Step 3: Cross multiply
    529.61x = 794.93 × 324.58
  4. Step 4: Simplify right side
    529.61x = 258,018.38
  5. Step 5: Solve for x
    x = 258,018.38/529.61
  6. Step 6: Final answer
    x = 487.19

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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.