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Finding the Fourth Proportional to 582.48, 868.58 and 501.84

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Solution

The fourth proportional to 582.48, 868.58 and 501.84 is: 748.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.48 : 868.58 = 501.84 : x
  2. Step 2: Convert to fraction form
    582.48/868.58 = 501.84/x
  3. Step 3: Cross multiply
    582.48x = 868.58 × 501.84
  4. Step 4: Simplify right side
    582.48x = 435,888.19
  5. Step 5: Solve for x
    x = 435,888.19/582.48
  6. Step 6: Final answer
    x = 748.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.