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Finding the Fourth Proportional to 504.84, 696.78 and 365.16

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Solution

The fourth proportional to 504.84, 696.78 and 365.16 is: 503.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.84 : 696.78 = 365.16 : x
  2. Step 2: Convert to fraction form
    504.84/696.78 = 365.16/x
  3. Step 3: Cross multiply
    504.84x = 696.78 × 365.16
  4. Step 4: Simplify right side
    504.84x = 254,436.18
  5. Step 5: Solve for x
    x = 254,436.18/504.84
  6. Step 6: Final answer
    x = 503.99

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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.