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Finding the Fourth Proportional to 425.63, 586.83 and 346.86

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Solution

The fourth proportional to 425.63, 586.83 and 346.86 is: 478.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.63 : 586.83 = 346.86 : x
  2. Step 2: Convert to fraction form
    425.63/586.83 = 346.86/x
  3. Step 3: Cross multiply
    425.63x = 586.83 × 346.86
  4. Step 4: Simplify right side
    425.63x = 203,549.02
  5. Step 5: Solve for x
    x = 203,549.02/425.63
  6. Step 6: Final answer
    x = 478.23

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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.