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Finding the Fourth Proportional to 708.94, 977.91 and 429.01

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Solution

The fourth proportional to 708.94, 977.91 and 429.01 is: 591.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.94 : 977.91 = 429.01 : x
  2. Step 2: Convert to fraction form
    708.94/977.91 = 429.01/x
  3. Step 3: Cross multiply
    708.94x = 977.91 × 429.01
  4. Step 4: Simplify right side
    708.94x = 419,533.17
  5. Step 5: Solve for x
    x = 419,533.17/708.94
  6. Step 6: Final answer
    x = 591.78

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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.