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Finding the Fourth Proportional to 412.22, 569.00 and 328.35

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Solution

The fourth proportional to 412.22, 569.00 and 328.35 is: 453.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.22 : 569.00 = 328.35 : x
  2. Step 2: Convert to fraction form
    412.22/569.00 = 328.35/x
  3. Step 3: Cross multiply
    412.22x = 569.00 × 328.35
  4. Step 4: Simplify right side
    412.22x = 186,829.51
  5. Step 5: Solve for x
    x = 186,829.51/412.22
  6. Step 6: Final answer
    x = 453.23

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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.