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Finding the Fourth Proportional to 709.04, 978.27 and 429.07

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Solution

The fourth proportional to 709.04, 978.27 and 429.07 is: 591.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.04 : 978.27 = 429.07 : x
  2. Step 2: Convert to fraction form
    709.04/978.27 = 429.07/x
  3. Step 3: Cross multiply
    709.04x = 978.27 × 429.07
  4. Step 4: Simplify right side
    709.04x = 419,746.31
  5. Step 5: Solve for x
    x = 419,746.31/709.04
  6. Step 6: Final answer
    x = 591.99

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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.