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Finding the Fourth Proportional to 652.14, 977.16 and 446.01

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Solution

The fourth proportional to 652.14, 977.16 and 446.01 is: 668.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.14 : 977.16 = 446.01 : x
  2. Step 2: Convert to fraction form
    652.14/977.16 = 446.01/x
  3. Step 3: Cross multiply
    652.14x = 977.16 × 446.01
  4. Step 4: Simplify right side
    652.14x = 435,823.13
  5. Step 5: Solve for x
    x = 435,823.13/652.14
  6. Step 6: Final answer
    x = 668.30

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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.