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Finding the Fourth Proportional to 645.68, 890.98 and 397.08

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Solution

The fourth proportional to 645.68, 890.98 and 397.08 is: 547.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.68 : 890.98 = 397.08 : x
  2. Step 2: Convert to fraction form
    645.68/890.98 = 397.08/x
  3. Step 3: Cross multiply
    645.68x = 890.98 × 397.08
  4. Step 4: Simplify right side
    645.68x = 353,790.34
  5. Step 5: Solve for x
    x = 353,790.34/645.68
  6. Step 6: Final answer
    x = 547.93

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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.