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Finding the Fourth Proportional to 582.96, 802.08 and 568.56

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Solution

The fourth proportional to 582.96, 802.08 and 568.56 is: 782.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.96 : 802.08 = 568.56 : x
  2. Step 2: Convert to fraction form
    582.96/802.08 = 568.56/x
  3. Step 3: Cross multiply
    582.96x = 802.08 × 568.56
  4. Step 4: Simplify right side
    582.96x = 456,030.60
  5. Step 5: Solve for x
    x = 456,030.60/582.96
  6. Step 6: Final answer
    x = 782.27

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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.