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Finding the Fourth Proportional to 459.59, 688.07 and 430.50

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Solution

The fourth proportional to 459.59, 688.07 and 430.50 is: 644.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.59 : 688.07 = 430.50 : x
  2. Step 2: Convert to fraction form
    459.59/688.07 = 430.50/x
  3. Step 3: Cross multiply
    459.59x = 688.07 × 430.50
  4. Step 4: Simplify right side
    459.59x = 296,213.44
  5. Step 5: Solve for x
    x = 296,213.44/459.59
  6. Step 6: Final answer
    x = 644.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.