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Finding the Fourth Proportional to 581.96, 802.26 and 498.68

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Solution

The fourth proportional to 581.96, 802.26 and 498.68 is: 687.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.96 : 802.26 = 498.68 : x
  2. Step 2: Convert to fraction form
    581.96/802.26 = 498.68/x
  3. Step 3: Cross multiply
    581.96x = 802.26 × 498.68
  4. Step 4: Simplify right side
    581.96x = 400,071.02
  5. Step 5: Solve for x
    x = 400,071.02/581.96
  6. Step 6: Final answer
    x = 687.45

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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.