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Finding the Fourth Proportional to 582.02, 873.02 and 257.42

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Solution

The fourth proportional to 582.02, 873.02 and 257.42 is: 386.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.02 : 873.02 = 257.42 : x
  2. Step 2: Convert to fraction form
    582.02/873.02 = 257.42/x
  3. Step 3: Cross multiply
    582.02x = 873.02 × 257.42
  4. Step 4: Simplify right side
    582.02x = 224,732.81
  5. Step 5: Solve for x
    x = 224,732.81/582.02
  6. Step 6: Final answer
    x = 386.13

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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.