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Finding the Fourth Proportional to 586.47, 809.33 and 320.93

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Solution

The fourth proportional to 586.47, 809.33 and 320.93 is: 442.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.47 : 809.33 = 320.93 : x
  2. Step 2: Convert to fraction form
    586.47/809.33 = 320.93/x
  3. Step 3: Cross multiply
    586.47x = 809.33 × 320.93
  4. Step 4: Simplify right side
    586.47x = 259,740.01
  5. Step 5: Solve for x
    x = 259,740.01/586.47
  6. Step 6: Final answer
    x = 442.89

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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.