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Finding the Fourth Proportional to 425.34, 586.89 and 309.06

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Solution

The fourth proportional to 425.34, 586.89 and 309.06 is: 426.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.34 : 586.89 = 309.06 : x
  2. Step 2: Convert to fraction form
    425.34/586.89 = 309.06/x
  3. Step 3: Cross multiply
    425.34x = 586.89 × 309.06
  4. Step 4: Simplify right side
    425.34x = 181,384.22
  5. Step 5: Solve for x
    x = 181,384.22/425.34
  6. Step 6: Final answer
    x = 426.45

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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.