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Finding the Fourth Proportional to 565.80, 848.16 and 419.16

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Solution

The fourth proportional to 565.80, 848.16 and 419.16 is: 628.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.80 : 848.16 = 419.16 : x
  2. Step 2: Convert to fraction form
    565.80/848.16 = 419.16/x
  3. Step 3: Cross multiply
    565.80x = 848.16 × 419.16
  4. Step 4: Simplify right side
    565.80x = 355,514.75
  5. Step 5: Solve for x
    x = 355,514.75/565.80
  6. Step 6: Final answer
    x = 628.34

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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.