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Finding the Fourth Proportional to 651.48, 977.81 and 305.01

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Solution

The fourth proportional to 651.48, 977.81 and 305.01 is: 457.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.48 : 977.81 = 305.01 : x
  2. Step 2: Convert to fraction form
    651.48/977.81 = 305.01/x
  3. Step 3: Cross multiply
    651.48x = 977.81 × 305.01
  4. Step 4: Simplify right side
    651.48x = 298,240.30
  5. Step 5: Solve for x
    x = 298,240.30/651.48
  6. Step 6: Final answer
    x = 457.79

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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.