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Finding the Fourth Proportional to 520, 716.36 and 437.12

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Solution

The fourth proportional to 520, 716.36 and 437.12 is: 602.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    520 : 716.36 = 437.12 : x
  2. Step 2: Convert to fraction form
    520/716.36 = 437.12/x
  3. Step 3: Cross multiply
    520x = 716.36 × 437.12
  4. Step 4: Simplify right side
    520x = 313,135.28
  5. Step 5: Solve for x
    x = 313,135.28/520
  6. Step 6: Final answer
    x = 602.18

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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.