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Finding the Fourth Proportional to 565.72, 848.76 and 429.42

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Solution

The fourth proportional to 565.72, 848.76 and 429.42 is: 644.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.72 : 848.76 = 429.42 : x
  2. Step 2: Convert to fraction form
    565.72/848.76 = 429.42/x
  3. Step 3: Cross multiply
    565.72x = 848.76 × 429.42
  4. Step 4: Simplify right side
    565.72x = 364,474.52
  5. Step 5: Solve for x
    x = 364,474.52/565.72
  6. Step 6: Final answer
    x = 644.27

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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.