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Finding the Fourth Proportional to 380.04, 569.04 and 322.08

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Solution

The fourth proportional to 380.04, 569.04 and 322.08 is: 482.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.04 : 569.04 = 322.08 : x
  2. Step 2: Convert to fraction form
    380.04/569.04 = 322.08/x
  3. Step 3: Cross multiply
    380.04x = 569.04 × 322.08
  4. Step 4: Simplify right side
    380.04x = 183,276.40
  5. Step 5: Solve for x
    x = 183,276.40/380.04
  6. Step 6: Final answer
    x = 482.26

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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.