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Finding the Fourth Proportional to 677.84, 935.58 and 429.50

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Solution

The fourth proportional to 677.84, 935.58 and 429.50 is: 592.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.84 : 935.58 = 429.50 : x
  2. Step 2: Convert to fraction form
    677.84/935.58 = 429.50/x
  3. Step 3: Cross multiply
    677.84x = 935.58 × 429.50
  4. Step 4: Simplify right side
    677.84x = 401,831.94
  5. Step 5: Solve for x
    x = 401,831.94/677.84
  6. Step 6: Final answer
    x = 592.81

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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.