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Finding the Fourth Proportional to 586.48, 809.28 and 365.35

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Solution

The fourth proportional to 586.48, 809.28 and 365.35 is: 504.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.48 : 809.28 = 365.35 : x
  2. Step 2: Convert to fraction form
    586.48/809.28 = 365.35/x
  3. Step 3: Cross multiply
    586.48x = 809.28 × 365.35
  4. Step 4: Simplify right side
    586.48x = 295,670.45
  5. Step 5: Solve for x
    x = 295,670.45/586.48
  6. Step 6: Final answer
    x = 504.14

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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.