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Finding the Fourth Proportional to 586.00, 808.68 and 337.32

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Solution

The fourth proportional to 586.00, 808.68 and 337.32 is: 465.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.00 : 808.68 = 337.32 : x
  2. Step 2: Convert to fraction form
    586.00/808.68 = 337.32/x
  3. Step 3: Cross multiply
    586.00x = 808.68 × 337.32
  4. Step 4: Simplify right side
    586.00x = 272,782.36
  5. Step 5: Solve for x
    x = 272,782.36/586.00
  6. Step 6: Final answer
    x = 465.49

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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.