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Finding the Fourth Proportional to 581.66, 802.68 and 406.70

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Solution

The fourth proportional to 581.66, 802.68 and 406.70 is: 561.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.66 : 802.68 = 406.70 : x
  2. Step 2: Convert to fraction form
    581.66/802.68 = 406.70/x
  3. Step 3: Cross multiply
    581.66x = 802.68 × 406.70
  4. Step 4: Simplify right side
    581.66x = 326,449.96
  5. Step 5: Solve for x
    x = 326,449.96/581.66
  6. Step 6: Final answer
    x = 561.24

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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.