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Finding the Fourth Proportional to 657.48, 906.88 and 421.50

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Solution

The fourth proportional to 657.48, 906.88 and 421.50 is: 581.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.48 : 906.88 = 421.50 : x
  2. Step 2: Convert to fraction form
    657.48/906.88 = 421.50/x
  3. Step 3: Cross multiply
    657.48x = 906.88 × 421.50
  4. Step 4: Simplify right side
    657.48x = 382,249.92
  5. Step 5: Solve for x
    x = 382,249.92/657.48
  6. Step 6: Final answer
    x = 581.39

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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.