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Finding the Fourth Proportional to 526.80, 790.20 and 470.10

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Solution

The fourth proportional to 526.80, 790.20 and 470.10 is: 705.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.80 : 790.20 = 470.10 : x
  2. Step 2: Convert to fraction form
    526.80/790.20 = 470.10/x
  3. Step 3: Cross multiply
    526.80x = 790.20 × 470.10
  4. Step 4: Simplify right side
    526.80x = 371,473.02
  5. Step 5: Solve for x
    x = 371,473.02/526.80
  6. Step 6: Final answer
    x = 705.15

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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.