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Finding the Fourth Proportional to 555.04, 831.84 and 230.23

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Solution

The fourth proportional to 555.04, 831.84 and 230.23 is: 345.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.04 : 831.84 = 230.23 : x
  2. Step 2: Convert to fraction form
    555.04/831.84 = 230.23/x
  3. Step 3: Cross multiply
    555.04x = 831.84 × 230.23
  4. Step 4: Simplify right side
    555.04x = 191,514.52
  5. Step 5: Solve for x
    x = 191,514.52/555.04
  6. Step 6: Final answer
    x = 345.05

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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.