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Finding the Fourth Proportional to 519.66, 783.01 and 430.36

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Solution

The fourth proportional to 519.66, 783.01 and 430.36 is: 648.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.66 : 783.01 = 430.36 : x
  2. Step 2: Convert to fraction form
    519.66/783.01 = 430.36/x
  3. Step 3: Cross multiply
    519.66x = 783.01 × 430.36
  4. Step 4: Simplify right side
    519.66x = 336,976.18
  5. Step 5: Solve for x
    x = 336,976.18/519.66
  6. Step 6: Final answer
    x = 648.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.