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Finding the Fourth Proportional to 412.16, 569.58 and 333.32

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Solution

The fourth proportional to 412.16, 569.58 and 333.32 is: 460.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.16 : 569.58 = 333.32 : x
  2. Step 2: Convert to fraction form
    412.16/569.58 = 333.32/x
  3. Step 3: Cross multiply
    412.16x = 569.58 × 333.32
  4. Step 4: Simplify right side
    412.16x = 189,852.41
  5. Step 5: Solve for x
    x = 189,852.41/412.16
  6. Step 6: Final answer
    x = 460.63

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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.