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Finding the Fourth Proportional to 501.61, 756.16 and 468.16

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Solution

The fourth proportional to 501.61, 756.16 and 468.16 is: 705.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.61 : 756.16 = 468.16 : x
  2. Step 2: Convert to fraction form
    501.61/756.16 = 468.16/x
  3. Step 3: Cross multiply
    501.61x = 756.16 × 468.16
  4. Step 4: Simplify right side
    501.61x = 353,997.74
  5. Step 5: Solve for x
    x = 353,997.74/501.61
  6. Step 6: Final answer
    x = 705.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.