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Finding the Fourth Proportional to 526.03, 788.76 and 213.57

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Solution

The fourth proportional to 526.03, 788.76 and 213.57 is: 320.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.03 : 788.76 = 213.57 : x
  2. Step 2: Convert to fraction form
    526.03/788.76 = 213.57/x
  3. Step 3: Cross multiply
    526.03x = 788.76 × 213.57
  4. Step 4: Simplify right side
    526.03x = 168,455.47
  5. Step 5: Solve for x
    x = 168,455.47/526.03
  6. Step 6: Final answer
    x = 320.24

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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.