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Finding the Fourth Proportional to 543.86, 750.53 and 465.08

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Solution

The fourth proportional to 543.86, 750.53 and 465.08 is: 641.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.86 : 750.53 = 465.08 : x
  2. Step 2: Convert to fraction form
    543.86/750.53 = 465.08/x
  3. Step 3: Cross multiply
    543.86x = 750.53 × 465.08
  4. Step 4: Simplify right side
    543.86x = 349,055.11
  5. Step 5: Solve for x
    x = 349,055.11/543.86
  6. Step 6: Final answer
    x = 641.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.