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Finding the Fourth Proportional to 602.30, 901.90 and 565.82

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Solution

The fourth proportional to 602.30, 901.90 and 565.82 is: 847.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.30 : 901.90 = 565.82 : x
  2. Step 2: Convert to fraction form
    602.30/901.90 = 565.82/x
  3. Step 3: Cross multiply
    602.30x = 901.90 × 565.82
  4. Step 4: Simplify right side
    602.30x = 510,312.64
  5. Step 5: Solve for x
    x = 510,312.64/602.30
  6. Step 6: Final answer
    x = 847.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.