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Finding the Fourth Proportional to 602.46, 897.66 and 575.91

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Solution

The fourth proportional to 602.46, 897.66 and 575.91 is: 858.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.46 : 897.66 = 575.91 : x
  2. Step 2: Convert to fraction form
    602.46/897.66 = 575.91/x
  3. Step 3: Cross multiply
    602.46x = 897.66 × 575.91
  4. Step 4: Simplify right side
    602.46x = 516,971.37
  5. Step 5: Solve for x
    x = 516,971.37/602.46
  6. Step 6: Final answer
    x = 858.10

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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.