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Finding the Fourth Proportional to 519.36, 718.08 and 432

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Solution

The fourth proportional to 519.36, 718.08 and 432 is: 597.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.36 : 718.08 = 432 : x
  2. Step 2: Convert to fraction form
    519.36/718.08 = 432/x
  3. Step 3: Cross multiply
    519.36x = 718.08 × 432
  4. Step 4: Simplify right side
    519.36x = 310,210.56
  5. Step 5: Solve for x
    x = 310,210.56/519.36
  6. Step 6: Final answer
    x = 597.29

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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.