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Finding the Fourth Proportional to 582.03, 802.92 and 383.07

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Solution

The fourth proportional to 582.03, 802.92 and 383.07 is: 528.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.03 : 802.92 = 383.07 : x
  2. Step 2: Convert to fraction form
    582.03/802.92 = 383.07/x
  3. Step 3: Cross multiply
    582.03x = 802.92 × 383.07
  4. Step 4: Simplify right side
    582.03x = 307,574.56
  5. Step 5: Solve for x
    x = 307,574.56/582.03
  6. Step 6: Final answer
    x = 528.45

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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.