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Finding the Fourth Proportional to 466.41, 642.59 and 368.13

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Solution

The fourth proportional to 466.41, 642.59 and 368.13 is: 507.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.41 : 642.59 = 368.13 : x
  2. Step 2: Convert to fraction form
    466.41/642.59 = 368.13/x
  3. Step 3: Cross multiply
    466.41x = 642.59 × 368.13
  4. Step 4: Simplify right side
    466.41x = 236,554.82
  5. Step 5: Solve for x
    x = 236,554.82/466.41
  6. Step 6: Final answer
    x = 507.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.