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Finding the Fourth Proportional to 566.16, 848.28 and 309.84

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Solution

The fourth proportional to 566.16, 848.28 and 309.84 is: 464.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.16 : 848.28 = 309.84 : x
  2. Step 2: Convert to fraction form
    566.16/848.28 = 309.84/x
  3. Step 3: Cross multiply
    566.16x = 848.28 × 309.84
  4. Step 4: Simplify right side
    566.16x = 262,831.08
  5. Step 5: Solve for x
    x = 262,831.08/566.16
  6. Step 6: Final answer
    x = 464.23

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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.