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Finding the Fourth Proportional to 356.40, 534.14 and 275.07

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Solution

The fourth proportional to 356.40, 534.14 and 275.07 is: 412.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.40 : 534.14 = 275.07 : x
  2. Step 2: Convert to fraction form
    356.40/534.14 = 275.07/x
  3. Step 3: Cross multiply
    356.40x = 534.14 × 275.07
  4. Step 4: Simplify right side
    356.40x = 146,927.59
  5. Step 5: Solve for x
    x = 146,927.59/356.40
  6. Step 6: Final answer
    x = 412.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.