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Finding the Fourth Proportional to 586.47, 810.16 and 469.22

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Solution

The fourth proportional to 586.47, 810.16 and 469.22 is: 648.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.47 : 810.16 = 469.22 : x
  2. Step 2: Convert to fraction form
    586.47/810.16 = 469.22/x
  3. Step 3: Cross multiply
    586.47x = 810.16 × 469.22
  4. Step 4: Simplify right side
    586.47x = 380,143.28
  5. Step 5: Solve for x
    x = 380,143.28/586.47
  6. Step 6: Final answer
    x = 648.19

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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.