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Finding the Fourth Proportional to 421.16, 577.77 and 409.78

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Solution

The fourth proportional to 421.16, 577.77 and 409.78 is: 562.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.16 : 577.77 = 409.78 : x
  2. Step 2: Convert to fraction form
    421.16/577.77 = 409.78/x
  3. Step 3: Cross multiply
    421.16x = 577.77 × 409.78
  4. Step 4: Simplify right side
    421.16x = 236,758.59
  5. Step 5: Solve for x
    x = 236,758.59/421.16
  6. Step 6: Final answer
    x = 562.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.