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Finding the Fourth Proportional to 573.55, 805.40 and 573.55

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Solution

The fourth proportional to 573.55, 805.40 and 573.55 is: 805.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.55 : 805.40 = 573.55 : x
  2. Step 2: Convert to fraction form
    573.55/805.40 = 573.55/x
  3. Step 3: Cross multiply
    573.55x = 805.40 × 573.55
  4. Step 4: Simplify right side
    573.55x = 461,937.17
  5. Step 5: Solve for x
    x = 461,937.17/573.55
  6. Step 6: Final answer
    x = 805.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.