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Finding the Fourth Proportional to 594.61, 897.14 and 574.16

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Solution

The fourth proportional to 594.61, 897.14 and 574.16 is: 866.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.61 : 897.14 = 574.16 : x
  2. Step 2: Convert to fraction form
    594.61/897.14 = 574.16/x
  3. Step 3: Cross multiply
    594.61x = 897.14 × 574.16
  4. Step 4: Simplify right side
    594.61x = 515,098.85
  5. Step 5: Solve for x
    x = 515,098.85/594.61
  6. Step 6: Final answer
    x = 866.28

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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.