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Finding the Fourth Proportional to 548.24, 760.10 and 530.24

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Solution

The fourth proportional to 548.24, 760.10 and 530.24 is: 735.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.24 : 760.10 = 530.24 : x
  2. Step 2: Convert to fraction form
    548.24/760.10 = 530.24/x
  3. Step 3: Cross multiply
    548.24x = 760.10 × 530.24
  4. Step 4: Simplify right side
    548.24x = 403,035.42
  5. Step 5: Solve for x
    x = 403,035.42/548.24
  6. Step 6: Final answer
    x = 735.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.