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Finding the Fourth Proportional to 594.71, 897.34 and 594.71

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Solution

The fourth proportional to 594.71, 897.34 and 594.71 is: 897.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.71 : 897.34 = 594.71 : x
  2. Step 2: Convert to fraction form
    594.71/897.34 = 594.71/x
  3. Step 3: Cross multiply
    594.71x = 897.34 × 594.71
  4. Step 4: Simplify right side
    594.71x = 533,657.07
  5. Step 5: Solve for x
    x = 533,657.07/594.71
  6. Step 6: Final answer
    x = 897.34

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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.