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Finding the Fourth Proportional to 582.14, 803.45 and 346.08

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Solution

The fourth proportional to 582.14, 803.45 and 346.08 is: 477.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.14 : 803.45 = 346.08 : x
  2. Step 2: Convert to fraction form
    582.14/803.45 = 346.08/x
  3. Step 3: Cross multiply
    582.14x = 803.45 × 346.08
  4. Step 4: Simplify right side
    582.14x = 278,056.25
  5. Step 5: Solve for x
    x = 278,056.25/582.14
  6. Step 6: Final answer
    x = 477.65

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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.