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Finding the Fourth Proportional to 368.04, 507.75 and 263.13

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Solution

The fourth proportional to 368.04, 507.75 and 263.13 is: 363.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.04 : 507.75 = 263.13 : x
  2. Step 2: Convert to fraction form
    368.04/507.75 = 263.13/x
  3. Step 3: Cross multiply
    368.04x = 507.75 × 263.13
  4. Step 4: Simplify right side
    368.04x = 133,604.26
  5. Step 5: Solve for x
    x = 133,604.26/368.04
  6. Step 6: Final answer
    x = 363.02

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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.