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Finding the Fourth Proportional to 653.36, 977.96 and 364.08

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Solution

The fourth proportional to 653.36, 977.96 and 364.08 is: 544.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.36 : 977.96 = 364.08 : x
  2. Step 2: Convert to fraction form
    653.36/977.96 = 364.08/x
  3. Step 3: Cross multiply
    653.36x = 977.96 × 364.08
  4. Step 4: Simplify right side
    653.36x = 356,055.68
  5. Step 5: Solve for x
    x = 356,055.68/653.36
  6. Step 6: Final answer
    x = 544.96

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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.