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Finding the Fourth Proportional to 582.02, 802.66 and 456

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Solution

The fourth proportional to 582.02, 802.66 and 456 is: 628.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.02 : 802.66 = 456 : x
  2. Step 2: Convert to fraction form
    582.02/802.66 = 456/x
  3. Step 3: Cross multiply
    582.02x = 802.66 × 456
  4. Step 4: Simplify right side
    582.02x = 366,012.96
  5. Step 5: Solve for x
    x = 366,012.96/582.02
  6. Step 6: Final answer
    x = 628.87

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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.