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Finding the Fourth Proportional to 602.37, 896.84 and 595.08

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Solution

The fourth proportional to 602.37, 896.84 and 595.08 is: 885.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.37 : 896.84 = 595.08 : x
  2. Step 2: Convert to fraction form
    602.37/896.84 = 595.08/x
  3. Step 3: Cross multiply
    602.37x = 896.84 × 595.08
  4. Step 4: Simplify right side
    602.37x = 533,690.80
  5. Step 5: Solve for x
    x = 533,690.80/602.37
  6. Step 6: Final answer
    x = 885.99

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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.