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Finding the Fourth Proportional to 569.36, 783.14 and 458.60

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Solution

The fourth proportional to 569.36, 783.14 and 458.60 is: 630.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.36 : 783.14 = 458.60 : x
  2. Step 2: Convert to fraction form
    569.36/783.14 = 458.60/x
  3. Step 3: Cross multiply
    569.36x = 783.14 × 458.60
  4. Step 4: Simplify right side
    569.36x = 359,141.80
  5. Step 5: Solve for x
    x = 359,141.80/569.36
  6. Step 6: Final answer
    x = 630.78

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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.