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Finding the Fourth Proportional to 477.04, 659.04 and 384.16

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Solution

The fourth proportional to 477.04, 659.04 and 384.16 is: 530.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.04 : 659.04 = 384.16 : x
  2. Step 2: Convert to fraction form
    477.04/659.04 = 384.16/x
  3. Step 3: Cross multiply
    477.04x = 659.04 × 384.16
  4. Step 4: Simplify right side
    477.04x = 253,176.81
  5. Step 5: Solve for x
    x = 253,176.81/477.04
  6. Step 6: Final answer
    x = 530.72

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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.