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Finding the Fourth Proportional to 653.00, 977.09 and 393.15

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Solution

The fourth proportional to 653.00, 977.09 and 393.15 is: 588.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.00 : 977.09 = 393.15 : x
  2. Step 2: Convert to fraction form
    653.00/977.09 = 393.15/x
  3. Step 3: Cross multiply
    653.00x = 977.09 × 393.15
  4. Step 4: Simplify right side
    653.00x = 384,140.97
  5. Step 5: Solve for x
    x = 384,140.97/653.00
  6. Step 6: Final answer
    x = 588.28

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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.