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Finding the Fourth Proportional to 565.54, 848.80 and 360.48

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Solution

The fourth proportional to 565.54, 848.80 and 360.48 is: 541.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.54 : 848.80 = 360.48 : x
  2. Step 2: Convert to fraction form
    565.54/848.80 = 360.48/x
  3. Step 3: Cross multiply
    565.54x = 848.80 × 360.48
  4. Step 4: Simplify right side
    565.54x = 305,975.42
  5. Step 5: Solve for x
    x = 305,975.42/565.54
  6. Step 6: Final answer
    x = 541.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.