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Finding the Fourth Proportional to 526.15, 788.53 and 217.57

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Solution

The fourth proportional to 526.15, 788.53 and 217.57 is: 326.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.15 : 788.53 = 217.57 : x
  2. Step 2: Convert to fraction form
    526.15/788.53 = 217.57/x
  3. Step 3: Cross multiply
    526.15x = 788.53 × 217.57
  4. Step 4: Simplify right side
    526.15x = 171,560.47
  5. Step 5: Solve for x
    x = 171,560.47/526.15
  6. Step 6: Final answer
    x = 326.07

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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.