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Finding the Fourth Proportional to 645.77, 891.52 and 410.06

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Solution

The fourth proportional to 645.77, 891.52 and 410.06 is: 566.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.77 : 891.52 = 410.06 : x
  2. Step 2: Convert to fraction form
    645.77/891.52 = 410.06/x
  3. Step 3: Cross multiply
    645.77x = 891.52 × 410.06
  4. Step 4: Simplify right side
    645.77x = 365,577.89
  5. Step 5: Solve for x
    x = 365,577.89/645.77
  6. Step 6: Final answer
    x = 566.11

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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.