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Finding the Fourth Proportional to 503.48, 694.91 and 416.00

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Solution

The fourth proportional to 503.48, 694.91 and 416.00 is: 574.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.48 : 694.91 = 416.00 : x
  2. Step 2: Convert to fraction form
    503.48/694.91 = 416.00/x
  3. Step 3: Cross multiply
    503.48x = 694.91 × 416.00
  4. Step 4: Simplify right side
    503.48x = 289,085.34
  5. Step 5: Solve for x
    x = 289,085.34/503.48
  6. Step 6: Final answer
    x = 574.17

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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.