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Finding the Fourth Proportional to 555.84, 831.84 and 312

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Solution

The fourth proportional to 555.84, 831.84 and 312 is: 466.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.84 : 831.84 = 312 : x
  2. Step 2: Convert to fraction form
    555.84/831.84 = 312/x
  3. Step 3: Cross multiply
    555.84x = 831.84 × 312
  4. Step 4: Simplify right side
    555.84x = 259,534.08
  5. Step 5: Solve for x
    x = 259,534.08/555.84
  6. Step 6: Final answer
    x = 466.92

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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.