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Finding the Fourth Proportional to 526.39, 788.20 and 294.93

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Solution

The fourth proportional to 526.39, 788.20 and 294.93 is: 441.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.39 : 788.20 = 294.93 : x
  2. Step 2: Convert to fraction form
    526.39/788.20 = 294.93/x
  3. Step 3: Cross multiply
    526.39x = 788.20 × 294.93
  4. Step 4: Simplify right side
    526.39x = 232,463.09
  5. Step 5: Solve for x
    x = 232,463.09/526.39
  6. Step 6: Final answer
    x = 441.62

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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.