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Finding the Fourth Proportional to 587.94, 810.48 and 463.35

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Solution

The fourth proportional to 587.94, 810.48 and 463.35 is: 638.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.94 : 810.48 = 463.35 : x
  2. Step 2: Convert to fraction form
    587.94/810.48 = 463.35/x
  3. Step 3: Cross multiply
    587.94x = 810.48 × 463.35
  4. Step 4: Simplify right side
    587.94x = 375,535.91
  5. Step 5: Solve for x
    x = 375,535.91/587.94
  6. Step 6: Final answer
    x = 638.74

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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.