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Finding the Fourth Proportional to 526.64, 790.05 and 472.22

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Solution

The fourth proportional to 526.64, 790.05 and 472.22 is: 708.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.64 : 790.05 = 472.22 : x
  2. Step 2: Convert to fraction form
    526.64/790.05 = 472.22/x
  3. Step 3: Cross multiply
    526.64x = 790.05 × 472.22
  4. Step 4: Simplify right side
    526.64x = 373,077.41
  5. Step 5: Solve for x
    x = 373,077.41/526.64
  6. Step 6: Final answer
    x = 708.41

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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.