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Finding the Fourth Proportional to 445.14, 670.17 and 348.16

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Solution

The fourth proportional to 445.14, 670.17 and 348.16 is: 524.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.14 : 670.17 = 348.16 : x
  2. Step 2: Convert to fraction form
    445.14/670.17 = 348.16/x
  3. Step 3: Cross multiply
    445.14x = 670.17 × 348.16
  4. Step 4: Simplify right side
    445.14x = 233,327.26
  5. Step 5: Solve for x
    x = 233,327.26/445.14
  6. Step 6: Final answer
    x = 524.17

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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.