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Finding the Fourth Proportional to 582.24, 802.80 and 507.36

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Solution

The fourth proportional to 582.24, 802.80 and 507.36 is: 699.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.24 : 802.80 = 507.36 : x
  2. Step 2: Convert to fraction form
    582.24/802.80 = 507.36/x
  3. Step 3: Cross multiply
    582.24x = 802.80 × 507.36
  4. Step 4: Simplify right side
    582.24x = 407,308.61
  5. Step 5: Solve for x
    x = 407,308.61/582.24
  6. Step 6: Final answer
    x = 699.55

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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.