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Finding the Fourth Proportional to 405.70, 548.10 and 405.70

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Solution

The fourth proportional to 405.70, 548.10 and 405.70 is: 548.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.70 : 548.10 = 405.70 : x
  2. Step 2: Convert to fraction form
    405.70/548.10 = 405.70/x
  3. Step 3: Cross multiply
    405.70x = 548.10 × 405.70
  4. Step 4: Simplify right side
    405.70x = 222,364.17
  5. Step 5: Solve for x
    x = 222,364.17/405.70
  6. Step 6: Final answer
    x = 548.10

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.