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Finding the Fourth Proportional to 353.60, 530.64 and 262.40

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Solution

The fourth proportional to 353.60, 530.64 and 262.40 is: 393.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.60 : 530.64 = 262.40 : x
  2. Step 2: Convert to fraction form
    353.60/530.64 = 262.40/x
  3. Step 3: Cross multiply
    353.60x = 530.64 × 262.40
  4. Step 4: Simplify right side
    353.60x = 139,239.94
  5. Step 5: Solve for x
    x = 139,239.94/353.60
  6. Step 6: Final answer
    x = 393.78

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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.