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Finding the Fourth Proportional to 420.80, 577.26 and 410.00

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Solution

The fourth proportional to 420.80, 577.26 and 410.00 is: 562.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.80 : 577.26 = 410.00 : x
  2. Step 2: Convert to fraction form
    420.80/577.26 = 410.00/x
  3. Step 3: Cross multiply
    420.80x = 577.26 × 410.00
  4. Step 4: Simplify right side
    420.80x = 236,673.71
  5. Step 5: Solve for x
    x = 236,673.71/420.80
  6. Step 6: Final answer
    x = 562.44

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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.