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Finding the Fourth Proportional to 614.48, 848.29 and 419.02

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Solution

The fourth proportional to 614.48, 848.29 and 419.02 is: 578.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.48 : 848.29 = 419.02 : x
  2. Step 2: Convert to fraction form
    614.48/848.29 = 419.02/x
  3. Step 3: Cross multiply
    614.48x = 848.29 × 419.02
  4. Step 4: Simplify right side
    614.48x = 355,447.31
  5. Step 5: Solve for x
    x = 355,447.31/614.48
  6. Step 6: Final answer
    x = 578.45

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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.