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Finding the Fourth Proportional to 567.13, 782.68 and 315.07

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Solution

The fourth proportional to 567.13, 782.68 and 315.07 is: 434.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.13 : 782.68 = 315.07 : x
  2. Step 2: Convert to fraction form
    567.13/782.68 = 315.07/x
  3. Step 3: Cross multiply
    567.13x = 782.68 × 315.07
  4. Step 4: Simplify right side
    567.13x = 246,598.99
  5. Step 5: Solve for x
    x = 246,598.99/567.13
  6. Step 6: Final answer
    x = 434.82

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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.