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Finding the Fourth Proportional to 652.56, 977.94 and 286.98

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Solution

The fourth proportional to 652.56, 977.94 and 286.98 is: 430.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.56 : 977.94 = 286.98 : x
  2. Step 2: Convert to fraction form
    652.56/977.94 = 286.98/x
  3. Step 3: Cross multiply
    652.56x = 977.94 × 286.98
  4. Step 4: Simplify right side
    652.56x = 280,649.22
  5. Step 5: Solve for x
    x = 280,649.22/652.56
  6. Step 6: Final answer
    x = 430.07

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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.