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Finding the Fourth Proportional to 314.98, 474.76 and 297.34

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Solution

The fourth proportional to 314.98, 474.76 and 297.34 is: 448.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.98 : 474.76 = 297.34 : x
  2. Step 2: Convert to fraction form
    314.98/474.76 = 297.34/x
  3. Step 3: Cross multiply
    314.98x = 474.76 × 297.34
  4. Step 4: Simplify right side
    314.98x = 141,165.14
  5. Step 5: Solve for x
    x = 141,165.14/314.98
  6. Step 6: Final answer
    x = 448.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.