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Finding the Fourth Proportional to 404.35, 566.45 and 404.35

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Solution

The fourth proportional to 404.35, 566.45 and 404.35 is: 566.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.35 : 566.45 = 404.35 : x
  2. Step 2: Convert to fraction form
    404.35/566.45 = 404.35/x
  3. Step 3: Cross multiply
    404.35x = 566.45 × 404.35
  4. Step 4: Simplify right side
    404.35x = 229,044.06
  5. Step 5: Solve for x
    x = 229,044.06/404.35
  6. Step 6: Final answer
    x = 566.45

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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.