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Finding the Fourth Proportional to 526.89, 727.14 and 330.47

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Solution

The fourth proportional to 526.89, 727.14 and 330.47 is: 456.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.89 : 727.14 = 330.47 : x
  2. Step 2: Convert to fraction form
    526.89/727.14 = 330.47/x
  3. Step 3: Cross multiply
    526.89x = 727.14 × 330.47
  4. Step 4: Simplify right side
    526.89x = 240,297.96
  5. Step 5: Solve for x
    x = 240,297.96/526.89
  6. Step 6: Final answer
    x = 456.07

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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.