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Finding the Fourth Proportional to 526.04, 788.32 and 294.36

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Solution

The fourth proportional to 526.04, 788.32 and 294.36 is: 441.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.04 : 788.32 = 294.36 : x
  2. Step 2: Convert to fraction form
    526.04/788.32 = 294.36/x
  3. Step 3: Cross multiply
    526.04x = 788.32 × 294.36
  4. Step 4: Simplify right side
    526.04x = 232,049.88
  5. Step 5: Solve for x
    x = 232,049.88/526.04
  6. Step 6: Final answer
    x = 441.13

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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.