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Finding the Fourth Proportional to 504.93, 697.19 and 407.12

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Solution

The fourth proportional to 504.93, 697.19 and 407.12 is: 562.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.93 : 697.19 = 407.12 : x
  2. Step 2: Convert to fraction form
    504.93/697.19 = 407.12/x
  3. Step 3: Cross multiply
    504.93x = 697.19 × 407.12
  4. Step 4: Simplify right side
    504.93x = 283,839.99
  5. Step 5: Solve for x
    x = 283,839.99/504.93
  6. Step 6: Final answer
    x = 562.14

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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.