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Finding the Fourth Proportional to 356.58, 492.93 and 342.18

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Solution

The fourth proportional to 356.58, 492.93 and 342.18 is: 473.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.58 : 492.93 = 342.18 : x
  2. Step 2: Convert to fraction form
    356.58/492.93 = 342.18/x
  3. Step 3: Cross multiply
    356.58x = 492.93 × 342.18
  4. Step 4: Simplify right side
    356.58x = 168,670.79
  5. Step 5: Solve for x
    x = 168,670.79/356.58
  6. Step 6: Final answer
    x = 473.02

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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.