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Finding the Fourth Proportional to 541.44, 810.54 and 497.16

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Solution

The fourth proportional to 541.44, 810.54 and 497.16 is: 744.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.44 : 810.54 = 497.16 : x
  2. Step 2: Convert to fraction form
    541.44/810.54 = 497.16/x
  3. Step 3: Cross multiply
    541.44x = 810.54 × 497.16
  4. Step 4: Simplify right side
    541.44x = 402,968.07
  5. Step 5: Solve for x
    x = 402,968.07/541.44
  6. Step 6: Final answer
    x = 744.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.