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Finding the Fourth Proportional to 690.87, 953.40 and 376.14

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Solution

The fourth proportional to 690.87, 953.40 and 376.14 is: 519.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.87 : 953.40 = 376.14 : x
  2. Step 2: Convert to fraction form
    690.87/953.40 = 376.14/x
  3. Step 3: Cross multiply
    690.87x = 953.40 × 376.14
  4. Step 4: Simplify right side
    690.87x = 358,616.86
  5. Step 5: Solve for x
    x = 358,616.86/690.87
  6. Step 6: Final answer
    x = 519.08

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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.