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Finding the Fourth Proportional to 340.16, 469.53 and 270.35

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Solution

The fourth proportional to 340.16, 469.53 and 270.35 is: 373.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.16 : 469.53 = 270.35 : x
  2. Step 2: Convert to fraction form
    340.16/469.53 = 270.35/x
  3. Step 3: Cross multiply
    340.16x = 469.53 × 270.35
  4. Step 4: Simplify right side
    340.16x = 126,935.09
  5. Step 5: Solve for x
    x = 126,935.09/340.16
  6. Step 6: Final answer
    x = 373.16

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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.