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Finding the Fourth Proportional to 567.53, 848.97 and 402.99

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Solution

The fourth proportional to 567.53, 848.97 and 402.99 is: 602.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.53 : 848.97 = 402.99 : x
  2. Step 2: Convert to fraction form
    567.53/848.97 = 402.99/x
  3. Step 3: Cross multiply
    567.53x = 848.97 × 402.99
  4. Step 4: Simplify right side
    567.53x = 342,123.24
  5. Step 5: Solve for x
    x = 342,123.24/567.53
  6. Step 6: Final answer
    x = 602.83

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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.