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Finding the Fourth Proportional to 565.08, 780.28 and 399.64

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Solution

The fourth proportional to 565.08, 780.28 and 399.64 is: 551.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.08 : 780.28 = 399.64 : x
  2. Step 2: Convert to fraction form
    565.08/780.28 = 399.64/x
  3. Step 3: Cross multiply
    565.08x = 780.28 × 399.64
  4. Step 4: Simplify right side
    565.08x = 311,831.10
  5. Step 5: Solve for x
    x = 311,831.10/565.08
  6. Step 6: Final answer
    x = 551.84

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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.