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Finding the Fourth Proportional to 346.40, 492.08 and 346.40

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Solution

The fourth proportional to 346.40, 492.08 and 346.40 is: 492.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.40 : 492.08 = 346.40 : x
  2. Step 2: Convert to fraction form
    346.40/492.08 = 346.40/x
  3. Step 3: Cross multiply
    346.40x = 492.08 × 346.40
  4. Step 4: Simplify right side
    346.40x = 170,456.51
  5. Step 5: Solve for x
    x = 170,456.51/346.40
  6. Step 6: Final answer
    x = 492.08

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.