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Finding the Fourth Proportional to 526.84, 790.04 and 202.42

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Solution

The fourth proportional to 526.84, 790.04 and 202.42 is: 303.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.84 : 790.04 = 202.42 : x
  2. Step 2: Convert to fraction form
    526.84/790.04 = 202.42/x
  3. Step 3: Cross multiply
    526.84x = 790.04 × 202.42
  4. Step 4: Simplify right side
    526.84x = 159,919.90
  5. Step 5: Solve for x
    x = 159,919.90/526.84
  6. Step 6: Final answer
    x = 303.55

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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.