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Finding the Fourth Proportional to 569.86, 855.20 and 245.32

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Solution

The fourth proportional to 569.86, 855.20 and 245.32 is: 368.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.86 : 855.20 = 245.32 : x
  2. Step 2: Convert to fraction form
    569.86/855.20 = 245.32/x
  3. Step 3: Cross multiply
    569.86x = 855.20 × 245.32
  4. Step 4: Simplify right side
    569.86x = 209,792.16
  5. Step 5: Solve for x
    x = 209,792.16/569.86
  6. Step 6: Final answer
    x = 368.15

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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.