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Finding the Fourth Proportional to 521.94, 785.42 and 430.05

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Solution

The fourth proportional to 521.94, 785.42 and 430.05 is: 647.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.94 : 785.42 = 430.05 : x
  2. Step 2: Convert to fraction form
    521.94/785.42 = 430.05/x
  3. Step 3: Cross multiply
    521.94x = 785.42 × 430.05
  4. Step 4: Simplify right side
    521.94x = 337,769.87
  5. Step 5: Solve for x
    x = 337,769.87/521.94
  6. Step 6: Final answer
    x = 647.14

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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.