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Finding the Fourth Proportional to 356.16, 492.18 and 263.01

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Solution

The fourth proportional to 356.16, 492.18 and 263.01 is: 363.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.16 : 492.18 = 263.01 : x
  2. Step 2: Convert to fraction form
    356.16/492.18 = 263.01/x
  3. Step 3: Cross multiply
    356.16x = 492.18 × 263.01
  4. Step 4: Simplify right side
    356.16x = 129,448.26
  5. Step 5: Solve for x
    x = 129,448.26/356.16
  6. Step 6: Final answer
    x = 363.46

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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.