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Finding the Fourth Proportional to 477.02, 657.95 and 437.81

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Solution

The fourth proportional to 477.02, 657.95 and 437.81 is: 603.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.02 : 657.95 = 437.81 : x
  2. Step 2: Convert to fraction form
    477.02/657.95 = 437.81/x
  3. Step 3: Cross multiply
    477.02x = 657.95 × 437.81
  4. Step 4: Simplify right side
    477.02x = 288,051.61
  5. Step 5: Solve for x
    x = 288,051.61/477.02
  6. Step 6: Final answer
    x = 603.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.