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Finding the Fourth Proportional to 412.42, 569.46 and 319.01

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Solution

The fourth proportional to 412.42, 569.46 and 319.01 is: 440.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.42 : 569.46 = 319.01 : x
  2. Step 2: Convert to fraction form
    412.42/569.46 = 319.01/x
  3. Step 3: Cross multiply
    412.42x = 569.46 × 319.01
  4. Step 4: Simplify right side
    412.42x = 181,663.90
  5. Step 5: Solve for x
    x = 181,663.90/412.42
  6. Step 6: Final answer
    x = 440.49

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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.