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Finding the Fourth Proportional to 530.20, 794.90 and 256.03

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Solution

The fourth proportional to 530.20, 794.90 and 256.03 is: 383.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.20 : 794.90 = 256.03 : x
  2. Step 2: Convert to fraction form
    530.20/794.90 = 256.03/x
  3. Step 3: Cross multiply
    530.20x = 794.90 × 256.03
  4. Step 4: Simplify right side
    530.20x = 203,518.25
  5. Step 5: Solve for x
    x = 203,518.25/530.20
  6. Step 6: Final answer
    x = 383.85

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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.