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Finding the Fourth Proportional to 548.10, 822.29 and 386.10

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Solution

The fourth proportional to 548.10, 822.29 and 386.10 is: 579.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.10 : 822.29 = 386.10 : x
  2. Step 2: Convert to fraction form
    548.10/822.29 = 386.10/x
  3. Step 3: Cross multiply
    548.10x = 822.29 × 386.10
  4. Step 4: Simplify right side
    548.10x = 317,484.24
  5. Step 5: Solve for x
    x = 317,484.24/548.10
  6. Step 6: Final answer
    x = 579.25

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Double scale
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1.5x scale

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.