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Finding the Fourth Proportional to 557.10, 836.19 and 435.06

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Solution

The fourth proportional to 557.10, 836.19 and 435.06 is: 653.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.10 : 836.19 = 435.06 : x
  2. Step 2: Convert to fraction form
    557.10/836.19 = 435.06/x
  3. Step 3: Cross multiply
    557.10x = 836.19 × 435.06
  4. Step 4: Simplify right side
    557.10x = 363,792.82
  5. Step 5: Solve for x
    x = 363,792.82/557.10
  6. Step 6: Final answer
    x = 653.01

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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.