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Finding the Fourth Proportional to 526.02, 725.40 and 329.28

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Solution

The fourth proportional to 526.02, 725.40 and 329.28 is: 454.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.02 : 725.40 = 329.28 : x
  2. Step 2: Convert to fraction form
    526.02/725.40 = 329.28/x
  3. Step 3: Cross multiply
    526.02x = 725.40 × 329.28
  4. Step 4: Simplify right side
    526.02x = 238,859.71
  5. Step 5: Solve for x
    x = 238,859.71/526.02
  6. Step 6: Final answer
    x = 454.09

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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.