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Finding the Fourth Proportional to 526.84, 790.24 and 238.07

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Solution

The fourth proportional to 526.84, 790.24 and 238.07 is: 357.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.84 : 790.24 = 238.07 : x
  2. Step 2: Convert to fraction form
    526.84/790.24 = 238.07/x
  3. Step 3: Cross multiply
    526.84x = 790.24 × 238.07
  4. Step 4: Simplify right side
    526.84x = 188,132.44
  5. Step 5: Solve for x
    x = 188,132.44/526.84
  6. Step 6: Final answer
    x = 357.10

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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.