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Finding the Fourth Proportional to 526.04, 788.34 and 269.24

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Solution

The fourth proportional to 526.04, 788.34 and 269.24 is: 403.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.04 : 788.34 = 269.24 : x
  2. Step 2: Convert to fraction form
    526.04/788.34 = 269.24/x
  3. Step 3: Cross multiply
    526.04x = 788.34 × 269.24
  4. Step 4: Simplify right side
    526.04x = 212,252.66
  5. Step 5: Solve for x
    x = 212,252.66/526.04
  6. Step 6: Final answer
    x = 403.49

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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.