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Finding the Fourth Proportional to 547.74, 756.03 and 437.16

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Solution

The fourth proportional to 547.74, 756.03 and 437.16 is: 603.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.74 : 756.03 = 437.16 : x
  2. Step 2: Convert to fraction form
    547.74/756.03 = 437.16/x
  3. Step 3: Cross multiply
    547.74x = 756.03 × 437.16
  4. Step 4: Simplify right side
    547.74x = 330,506.07
  5. Step 5: Solve for x
    x = 330,506.07/547.74
  6. Step 6: Final answer
    x = 603.40

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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.