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Finding the Fourth Proportional to 530.28, 795.62 and 256.33

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Solution

The fourth proportional to 530.28, 795.62 and 256.33 is: 384.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.28 : 795.62 = 256.33 : x
  2. Step 2: Convert to fraction form
    530.28/795.62 = 256.33/x
  3. Step 3: Cross multiply
    530.28x = 795.62 × 256.33
  4. Step 4: Simplify right side
    530.28x = 203,942.91
  5. Step 5: Solve for x
    x = 203,942.91/530.28
  6. Step 6: Final answer
    x = 384.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.