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Finding the Fourth Proportional to 353.98, 530.15 and 256.60

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Solution

The fourth proportional to 353.98, 530.15 and 256.60 is: 384.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.98 : 530.15 = 256.60 : x
  2. Step 2: Convert to fraction form
    353.98/530.15 = 256.60/x
  3. Step 3: Cross multiply
    353.98x = 530.15 × 256.60
  4. Step 4: Simplify right side
    353.98x = 136,033.84
  5. Step 5: Solve for x
    x = 136,033.84/353.98
  6. Step 6: Final answer
    x = 384.30

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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.