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Finding the Fourth Proportional to 582.64, 803.72 and 407.68

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Solution

The fourth proportional to 582.64, 803.72 and 407.68 is: 562.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.64 : 803.72 = 407.68 : x
  2. Step 2: Convert to fraction form
    582.64/803.72 = 407.68/x
  3. Step 3: Cross multiply
    582.64x = 803.72 × 407.68
  4. Step 4: Simplify right side
    582.64x = 327,660.57
  5. Step 5: Solve for x
    x = 327,660.57/582.64
  6. Step 6: Final answer
    x = 562.37

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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.