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Finding the Fourth Proportional to 652.31, 977.15 and 305.16

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Solution

The fourth proportional to 652.31, 977.15 and 305.16 is: 457.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.31 : 977.15 = 305.16 : x
  2. Step 2: Convert to fraction form
    652.31/977.15 = 305.16/x
  3. Step 3: Cross multiply
    652.31x = 977.15 × 305.16
  4. Step 4: Simplify right side
    652.31x = 298,187.09
  5. Step 5: Solve for x
    x = 298,187.09/652.31
  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.