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Finding the Fourth Proportional to 504.23, 750.76 and 474.17

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Solution

The fourth proportional to 504.23, 750.76 and 474.17 is: 706.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.23 : 750.76 = 474.17 : x
  2. Step 2: Convert to fraction form
    504.23/750.76 = 474.17/x
  3. Step 3: Cross multiply
    504.23x = 750.76 × 474.17
  4. Step 4: Simplify right side
    504.23x = 355,982.93
  5. Step 5: Solve for x
    x = 355,982.93/504.23
  6. Step 6: Final answer
    x = 706.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.