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Finding the Fourth Proportional to 690.87, 953.01 and 442.05

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Solution

The fourth proportional to 690.87, 953.01 and 442.05 is: 609.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.87 : 953.01 = 442.05 : x
  2. Step 2: Convert to fraction form
    690.87/953.01 = 442.05/x
  3. Step 3: Cross multiply
    690.87x = 953.01 × 442.05
  4. Step 4: Simplify right side
    690.87x = 421,278.07
  5. Step 5: Solve for x
    x = 421,278.07/690.87
  6. Step 6: Final answer
    x = 609.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.