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Finding the Fourth Proportional to 418.68, 570.42 and 409.77

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Solution

The fourth proportional to 418.68, 570.42 and 409.77 is: 558.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.68 : 570.42 = 409.77 : x
  2. Step 2: Convert to fraction form
    418.68/570.42 = 409.77/x
  3. Step 3: Cross multiply
    418.68x = 570.42 × 409.77
  4. Step 4: Simplify right side
    418.68x = 233,741.00
  5. Step 5: Solve for x
    x = 233,741.00/418.68
  6. Step 6: Final answer
    x = 558.28

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.