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Finding the Fourth Proportional to 467.07, 643.14 and 404.90

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Solution

The fourth proportional to 467.07, 643.14 and 404.90 is: 557.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.07 : 643.14 = 404.90 : x
  2. Step 2: Convert to fraction form
    467.07/643.14 = 404.90/x
  3. Step 3: Cross multiply
    467.07x = 643.14 × 404.90
  4. Step 4: Simplify right side
    467.07x = 260,405.36
  5. Step 5: Solve for x
    x = 260,405.36/467.07
  6. Step 6: Final answer
    x = 557.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.