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Finding the Fourth Proportional to 582.07, 803.47 and 385.65

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Solution

The fourth proportional to 582.07, 803.47 and 385.65 is: 532.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.07 : 803.47 = 385.65 : x
  2. Step 2: Convert to fraction form
    582.07/803.47 = 385.65/x
  3. Step 3: Cross multiply
    582.07x = 803.47 × 385.65
  4. Step 4: Simplify right side
    582.07x = 309,858.21
  5. Step 5: Solve for x
    x = 309,858.21/582.07
  6. Step 6: Final answer
    x = 532.34

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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.