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Finding the Fourth Proportional to 601.37, 897.71 and 556.28

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Solution

The fourth proportional to 601.37, 897.71 and 556.28 is: 830.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.37 : 897.71 = 556.28 : x
  2. Step 2: Convert to fraction form
    601.37/897.71 = 556.28/x
  3. Step 3: Cross multiply
    601.37x = 897.71 × 556.28
  4. Step 4: Simplify right side
    601.37x = 499,374.22
  5. Step 5: Solve for x
    x = 499,374.22/601.37
  6. Step 6: Final answer
    x = 830.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.