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Finding the Fourth Proportional to 690.84, 953.10 and 410.94

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Solution

The fourth proportional to 690.84, 953.10 and 410.94 is: 566.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.84 : 953.10 = 410.94 : x
  2. Step 2: Convert to fraction form
    690.84/953.10 = 410.94/x
  3. Step 3: Cross multiply
    690.84x = 953.10 × 410.94
  4. Step 4: Simplify right side
    690.84x = 391,666.91
  5. Step 5: Solve for x
    x = 391,666.91/690.84
  6. Step 6: Final answer
    x = 566.94

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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.