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Finding the Fourth Proportional to 652.14, 977.49 and 304.98

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Solution

The fourth proportional to 652.14, 977.49 and 304.98 is: 457.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.14 : 977.49 = 304.98 : x
  2. Step 2: Convert to fraction form
    652.14/977.49 = 304.98/x
  3. Step 3: Cross multiply
    652.14x = 977.49 × 304.98
  4. Step 4: Simplify right side
    652.14x = 298,114.90
  5. Step 5: Solve for x
    x = 298,114.90/652.14
  6. Step 6: Final answer
    x = 457.13

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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.