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Finding the Fourth Proportional to 530.36, 795.54 and 256.44

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Solution

The fourth proportional to 530.36, 795.54 and 256.44 is: 384.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.36 : 795.54 = 256.44 : x
  2. Step 2: Convert to fraction form
    530.36/795.54 = 256.44/x
  3. Step 3: Cross multiply
    530.36x = 795.54 × 256.44
  4. Step 4: Simplify right side
    530.36x = 204,008.28
  5. Step 5: Solve for x
    x = 204,008.28/530.36
  6. Step 6: Final answer
    x = 384.66

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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.