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Finding the Fourth Proportional to 652.08, 977.70 and 305.40

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Solution

The fourth proportional to 652.08, 977.70 and 305.40 is: 457.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.08 : 977.70 = 305.40 : x
  2. Step 2: Convert to fraction form
    652.08/977.70 = 305.40/x
  3. Step 3: Cross multiply
    652.08x = 977.70 × 305.40
  4. Step 4: Simplify right side
    652.08x = 298,589.58
  5. Step 5: Solve for x
    x = 298,589.58/652.08
  6. Step 6: Final answer
    x = 457.90

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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.