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Finding the Fourth Proportional to 560.10, 838.52 and 416.46

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Solution

The fourth proportional to 560.10, 838.52 and 416.46 is: 623.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.10 : 838.52 = 416.46 : x
  2. Step 2: Convert to fraction form
    560.10/838.52 = 416.46/x
  3. Step 3: Cross multiply
    560.10x = 838.52 × 416.46
  4. Step 4: Simplify right side
    560.10x = 349,210.04
  5. Step 5: Solve for x
    x = 349,210.04/560.10
  6. Step 6: Final answer
    x = 623.48

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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.