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Finding the Fourth Proportional to 652.98, 977.58 and 378.24

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Solution

The fourth proportional to 652.98, 977.58 and 378.24 is: 566.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.98 : 977.58 = 378.24 : x
  2. Step 2: Convert to fraction form
    652.98/977.58 = 378.24/x
  3. Step 3: Cross multiply
    652.98x = 977.58 × 378.24
  4. Step 4: Simplify right side
    652.98x = 369,759.86
  5. Step 5: Solve for x
    x = 369,759.86/652.98
  6. Step 6: Final answer
    x = 566.27

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1.5x scale

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.