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Finding the Fourth Proportional to 690.58, 953.03 and 410.98

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Solution

The fourth proportional to 690.58, 953.03 and 410.98 is: 567.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.58 : 953.03 = 410.98 : x
  2. Step 2: Convert to fraction form
    690.58/953.03 = 410.98/x
  3. Step 3: Cross multiply
    690.58x = 953.03 × 410.98
  4. Step 4: Simplify right side
    690.58x = 391,676.27
  5. Step 5: Solve for x
    x = 391,676.27/690.58
  6. Step 6: Final answer
    x = 567.17

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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.