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Finding the Fourth Proportional to 652.67, 977.69 and 420.75

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Solution

The fourth proportional to 652.67, 977.69 and 420.75 is: 630.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.67 : 977.69 = 420.75 : x
  2. Step 2: Convert to fraction form
    652.67/977.69 = 420.75/x
  3. Step 3: Cross multiply
    652.67x = 977.69 × 420.75
  4. Step 4: Simplify right side
    652.67x = 411,364.12
  5. Step 5: Solve for x
    x = 411,364.12/652.67
  6. Step 6: Final answer
    x = 630.28

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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.