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Finding the Fourth Proportional to 582.47, 877.70 and 482.01

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Solution

The fourth proportional to 582.47, 877.70 and 482.01 is: 726.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.47 : 877.70 = 482.01 : x
  2. Step 2: Convert to fraction form
    582.47/877.70 = 482.01/x
  3. Step 3: Cross multiply
    582.47x = 877.70 × 482.01
  4. Step 4: Simplify right side
    582.47x = 423,057.77
  5. Step 5: Solve for x
    x = 423,057.77/582.47
  6. Step 6: Final answer
    x = 726.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.