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Finding the Fourth Proportional to 530.27, 795.56 and 238.02

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Solution

The fourth proportional to 530.27, 795.56 and 238.02 is: 357.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.27 : 795.56 = 238.02 : x
  2. Step 2: Convert to fraction form
    530.27/795.56 = 238.02/x
  3. Step 3: Cross multiply
    530.27x = 795.56 × 238.02
  4. Step 4: Simplify right side
    530.27x = 189,355.02
  5. Step 5: Solve for x
    x = 189,355.02/530.27
  6. Step 6: Final answer
    x = 357.09

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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.