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Finding the Fourth Proportional to 565.72, 848.75 and 292.01

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Solution

The fourth proportional to 565.72, 848.75 and 292.01 is: 438.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.72 : 848.75 = 292.01 : x
  2. Step 2: Convert to fraction form
    565.72/848.75 = 292.01/x
  3. Step 3: Cross multiply
    565.72x = 848.75 × 292.01
  4. Step 4: Simplify right side
    565.72x = 247,837.78
  5. Step 5: Solve for x
    x = 247,837.78/565.72
  6. Step 6: Final answer
    x = 438.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.