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Finding the Fourth Proportional to 582.19, 803.42 and 407.63

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Solution

The fourth proportional to 582.19, 803.42 and 407.63 is: 562.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.19 : 803.42 = 407.63 : x
  2. Step 2: Convert to fraction form
    582.19/803.42 = 407.63/x
  3. Step 3: Cross multiply
    582.19x = 803.42 × 407.63
  4. Step 4: Simplify right side
    582.19x = 327,499.59
  5. Step 5: Solve for x
    x = 327,499.59/582.19
  6. Step 6: Final answer
    x = 562.53

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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.