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Finding the Fourth Proportional to 707.55, 976.07 and 471.60

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Solution

The fourth proportional to 707.55, 976.07 and 471.60 is: 650.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.55 : 976.07 = 471.60 : x
  2. Step 2: Convert to fraction form
    707.55/976.07 = 471.60/x
  3. Step 3: Cross multiply
    707.55x = 976.07 × 471.60
  4. Step 4: Simplify right side
    707.55x = 460,312.25
  5. Step 5: Solve for x
    x = 460,312.25/707.55
  6. Step 6: Final answer
    x = 650.57

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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.