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Finding the Fourth Proportional to 571.88, 788.58 and 416.36

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Solution

The fourth proportional to 571.88, 788.58 and 416.36 is: 574.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.88 : 788.58 = 416.36 : x
  2. Step 2: Convert to fraction form
    571.88/788.58 = 416.36/x
  3. Step 3: Cross multiply
    571.88x = 788.58 × 416.36
  4. Step 4: Simplify right side
    571.88x = 328,333.17
  5. Step 5: Solve for x
    x = 328,333.17/571.88
  6. Step 6: Final answer
    x = 574.13

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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.