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Finding the Fourth Proportional to 504.47, 695.98 and 386.46

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Solution

The fourth proportional to 504.47, 695.98 and 386.46 is: 533.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.47 : 695.98 = 386.46 : x
  2. Step 2: Convert to fraction form
    504.47/695.98 = 386.46/x
  3. Step 3: Cross multiply
    504.47x = 695.98 × 386.46
  4. Step 4: Simplify right side
    504.47x = 268,968.43
  5. Step 5: Solve for x
    x = 268,968.43/504.47
  6. Step 6: Final answer
    x = 533.17

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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.