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Finding the Fourth Proportional to 369.58, 510.01 and 212.10

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Solution

The fourth proportional to 369.58, 510.01 and 212.10 is: 292.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.58 : 510.01 = 212.10 : x
  2. Step 2: Convert to fraction form
    369.58/510.01 = 212.10/x
  3. Step 3: Cross multiply
    369.58x = 510.01 × 212.10
  4. Step 4: Simplify right side
    369.58x = 108,174.42
  5. Step 5: Solve for x
    x = 108,174.42/369.58
  6. Step 6: Final answer
    x = 292.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.