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Finding the Fourth Proportional to 595.24, 820.14 and 567.60

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Solution

The fourth proportional to 595.24, 820.14 and 567.60 is: 782.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.24 : 820.14 = 567.60 : x
  2. Step 2: Convert to fraction form
    595.24/820.14 = 567.60/x
  3. Step 3: Cross multiply
    595.24x = 820.14 × 567.60
  4. Step 4: Simplify right side
    595.24x = 465,511.46
  5. Step 5: Solve for x
    x = 465,511.46/595.24
  6. Step 6: Final answer
    x = 782.06

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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.