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Finding the Fourth Proportional to 630.71, 946.55 and 437.06

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Solution

The fourth proportional to 630.71, 946.55 and 437.06 is: 655.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.71 : 946.55 = 437.06 : x
  2. Step 2: Convert to fraction form
    630.71/946.55 = 437.06/x
  3. Step 3: Cross multiply
    630.71x = 946.55 × 437.06
  4. Step 4: Simplify right side
    630.71x = 413,699.32
  5. Step 5: Solve for x
    x = 413,699.32/630.71
  6. Step 6: Final answer
    x = 655.93

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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.