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Finding the Fourth Proportional to 602.04, 828.84 and 571.26

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Solution

The fourth proportional to 602.04, 828.84 and 571.26 is: 786.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.04 : 828.84 = 571.26 : x
  2. Step 2: Convert to fraction form
    602.04/828.84 = 571.26/x
  3. Step 3: Cross multiply
    602.04x = 828.84 × 571.26
  4. Step 4: Simplify right side
    602.04x = 473,483.14
  5. Step 5: Solve for x
    x = 473,483.14/602.04
  6. Step 6: Final answer
    x = 786.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.