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Finding the Fourth Proportional to 1,568.64, 2,353.02 and 414.40

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Solution

The fourth proportional to 1,568.64, 2,353.02 and 414.40 is: 621.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,568.64 : 2,353.02 = 414.40 : x
  2. Step 2: Convert to fraction form
    1,568.64/2,353.02 = 414.40/x
  3. Step 3: Cross multiply
    1,568.64x = 2,353.02 × 414.40
  4. Step 4: Simplify right side
    1,568.64x = 975,091.49
  5. Step 5: Solve for x
    x = 975,091.49/1,568.64
  6. Step 6: Final answer
    x = 621.62

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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.