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Finding the Fourth Proportional to 562.92, 777.43 and 501.84

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Solution

The fourth proportional to 562.92, 777.43 and 501.84 is: 693.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.92 : 777.43 = 501.84 : x
  2. Step 2: Convert to fraction form
    562.92/777.43 = 501.84/x
  3. Step 3: Cross multiply
    562.92x = 777.43 × 501.84
  4. Step 4: Simplify right side
    562.92x = 390,145.47
  5. Step 5: Solve for x
    x = 390,145.47/562.92
  6. Step 6: Final answer
    x = 693.07

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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.