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Finding the Fourth Proportional to 586.60, 810.22 and 457.16

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Solution

The fourth proportional to 586.60, 810.22 and 457.16 is: 631.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.60 : 810.22 = 457.16 : x
  2. Step 2: Convert to fraction form
    586.60/810.22 = 457.16/x
  3. Step 3: Cross multiply
    586.60x = 810.22 × 457.16
  4. Step 4: Simplify right side
    586.60x = 370,400.18
  5. Step 5: Solve for x
    x = 370,400.18/586.60
  6. Step 6: Final answer
    x = 631.44

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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.