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Finding the Fourth Proportional to 530.25, 795.36 and 256.20

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Solution

The fourth proportional to 530.25, 795.36 and 256.20 is: 384.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.25 : 795.36 = 256.20 : x
  2. Step 2: Convert to fraction form
    530.25/795.36 = 256.20/x
  3. Step 3: Cross multiply
    530.25x = 795.36 × 256.20
  4. Step 4: Simplify right side
    530.25x = 203,767.26
  5. Step 5: Solve for x
    x = 203,767.26/530.25
  6. Step 6: Final answer
    x = 384.29

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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.