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Finding the Fourth Proportional to 430.86, 586.64 and 429.50

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Solution

The fourth proportional to 430.86, 586.64 and 429.50 is: 584.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.86 : 586.64 = 429.50 : x
  2. Step 2: Convert to fraction form
    430.86/586.64 = 429.50/x
  3. Step 3: Cross multiply
    430.86x = 586.64 × 429.50
  4. Step 4: Simplify right side
    430.86x = 251,960.61
  5. Step 5: Solve for x
    x = 251,960.61/430.86
  6. Step 6: Final answer
    x = 584.78

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.