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Finding the Fourth Proportional to 526.41, 788.91 and 283.11

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Solution

The fourth proportional to 526.41, 788.91 and 283.11 is: 424.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.41 : 788.91 = 283.11 : x
  2. Step 2: Convert to fraction form
    526.41/788.91 = 283.11/x
  3. Step 3: Cross multiply
    526.41x = 788.91 × 283.11
  4. Step 4: Simplify right side
    526.41x = 223,348.31
  5. Step 5: Solve for x
    x = 223,348.31/526.41
  6. Step 6: Final answer
    x = 424.29

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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.