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Finding the Fourth Proportional to 530.67, 795.88 and 256.62

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Solution

The fourth proportional to 530.67, 795.88 and 256.62 is: 384.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.67 : 795.88 = 256.62 : x
  2. Step 2: Convert to fraction form
    530.67/795.88 = 256.62/x
  3. Step 3: Cross multiply
    530.67x = 795.88 × 256.62
  4. Step 4: Simplify right side
    530.67x = 204,238.73
  5. Step 5: Solve for x
    x = 204,238.73/530.67
  6. Step 6: Final answer
    x = 384.87

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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.