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Finding the Fourth Proportional to 594.61, 817.95 and 483.84

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Solution

The fourth proportional to 594.61, 817.95 and 483.84 is: 665.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.61 : 817.95 = 483.84 : x
  2. Step 2: Convert to fraction form
    594.61/817.95 = 483.84/x
  3. Step 3: Cross multiply
    594.61x = 817.95 × 483.84
  4. Step 4: Simplify right side
    594.61x = 395,752.84
  5. Step 5: Solve for x
    x = 395,752.84/594.61
  6. Step 6: Final answer
    x = 665.57

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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.