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Finding the Fourth Proportional to 582.07, 802.34 and 570.55

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Solution

The fourth proportional to 582.07, 802.34 and 570.55 is: 786.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.07 : 802.34 = 570.55 : x
  2. Step 2: Convert to fraction form
    582.07/802.34 = 570.55/x
  3. Step 3: Cross multiply
    582.07x = 802.34 × 570.55
  4. Step 4: Simplify right side
    582.07x = 457,772.23
  5. Step 5: Solve for x
    x = 457,772.23/582.07
  6. Step 6: Final answer
    x = 786.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.