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Finding the Fourth Proportional to 569.16, 782.82 and 463.50

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Solution

The fourth proportional to 569.16, 782.82 and 463.50 is: 637.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.16 : 782.82 = 463.50 : x
  2. Step 2: Convert to fraction form
    569.16/782.82 = 463.50/x
  3. Step 3: Cross multiply
    569.16x = 782.82 × 463.50
  4. Step 4: Simplify right side
    569.16x = 362,837.07
  5. Step 5: Solve for x
    x = 362,837.07/569.16
  6. Step 6: Final answer
    x = 637.50

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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.