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Finding the Fourth Proportional to 582.84, 804.47 and 425.70

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Solution

The fourth proportional to 582.84, 804.47 and 425.70 is: 587.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.84 : 804.47 = 425.70 : x
  2. Step 2: Convert to fraction form
    582.84/804.47 = 425.70/x
  3. Step 3: Cross multiply
    582.84x = 804.47 × 425.70
  4. Step 4: Simplify right side
    582.84x = 342,460.75
  5. Step 5: Solve for x
    x = 342,460.75/582.84
  6. Step 6: Final answer
    x = 587.57

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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.