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Finding the Fourth Proportional to 582.02, 873.12 and 308.06

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Solution

The fourth proportional to 582.02, 873.12 and 308.06 is: 462.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.02 : 873.12 = 308.06 : x
  2. Step 2: Convert to fraction form
    582.02/873.12 = 308.06/x
  3. Step 3: Cross multiply
    582.02x = 873.12 × 308.06
  4. Step 4: Simplify right side
    582.02x = 268,973.35
  5. Step 5: Solve for x
    x = 268,973.35/582.02
  6. Step 6: Final answer
    x = 462.14

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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.