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Finding the Fourth Proportional to 586.00, 809.06 and 526.80

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Solution

The fourth proportional to 586.00, 809.06 and 526.80 is: 727.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.00 : 809.06 = 526.80 : x
  2. Step 2: Convert to fraction form
    586.00/809.06 = 526.80/x
  3. Step 3: Cross multiply
    586.00x = 809.06 × 526.80
  4. Step 4: Simplify right side
    586.00x = 426,213.21
  5. Step 5: Solve for x
    x = 426,213.21/586.00
  6. Step 6: Final answer
    x = 727.32

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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.