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Finding the Fourth Proportional to 404.30, 565.30 and 404.30

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Solution

The fourth proportional to 404.30, 565.30 and 404.30 is: 565.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.30 : 565.30 = 404.30 : x
  2. Step 2: Convert to fraction form
    404.30/565.30 = 404.30/x
  3. Step 3: Cross multiply
    404.30x = 565.30 × 404.30
  4. Step 4: Simplify right side
    404.30x = 228,550.79
  5. Step 5: Solve for x
    x = 228,550.79/404.30
  6. Step 6: Final answer
    x = 565.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.