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Finding the Fourth Proportional to 567.21, 782.01 and 410.07

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Solution

The fourth proportional to 567.21, 782.01 and 410.07 is: 565.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.21 : 782.01 = 410.07 : x
  2. Step 2: Convert to fraction form
    567.21/782.01 = 410.07/x
  3. Step 3: Cross multiply
    567.21x = 782.01 × 410.07
  4. Step 4: Simplify right side
    567.21x = 320,678.84
  5. Step 5: Solve for x
    x = 320,678.84/567.21
  6. Step 6: Final answer
    x = 565.36

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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.