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Finding the Fourth Proportional to 586.30, 810.64 and 513.40

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Solution

The fourth proportional to 586.30, 810.64 and 513.40 is: 709.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.30 : 810.64 = 513.40 : x
  2. Step 2: Convert to fraction form
    586.30/810.64 = 513.40/x
  3. Step 3: Cross multiply
    586.30x = 810.64 × 513.40
  4. Step 4: Simplify right side
    586.30x = 416,182.58
  5. Step 5: Solve for x
    x = 416,182.58/586.30
  6. Step 6: Final answer
    x = 709.85

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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.