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Finding the Fourth Proportional to 582.44, 802.80 and 499.64

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Solution

The fourth proportional to 582.44, 802.80 and 499.64 is: 688.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.44 : 802.80 = 499.64 : x
  2. Step 2: Convert to fraction form
    582.44/802.80 = 499.64/x
  3. Step 3: Cross multiply
    582.44x = 802.80 × 499.64
  4. Step 4: Simplify right side
    582.44x = 401,110.99
  5. Step 5: Solve for x
    x = 401,110.99/582.44
  6. Step 6: Final answer
    x = 688.67

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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.