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Finding the Fourth Proportional to 708.76, 977.97 and 429.04

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Solution

The fourth proportional to 708.76, 977.97 and 429.04 is: 592.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.76 : 977.97 = 429.04 : x
  2. Step 2: Convert to fraction form
    708.76/977.97 = 429.04/x
  3. Step 3: Cross multiply
    708.76x = 977.97 × 429.04
  4. Step 4: Simplify right side
    708.76x = 419,588.25
  5. Step 5: Solve for x
    x = 419,588.25/708.76
  6. Step 6: Final answer
    x = 592.00

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1.5x scale

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.