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Finding the Fourth Proportional to 651.45, 977.18 and 470

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Solution

The fourth proportional to 651.45, 977.18 and 470 is: 705.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.45 : 977.18 = 470 : x
  2. Step 2: Convert to fraction form
    651.45/977.18 = 470/x
  3. Step 3: Cross multiply
    651.45x = 977.18 × 470
  4. Step 4: Simplify right side
    651.45x = 459,274.60
  5. Step 5: Solve for x
    x = 459,274.60/651.45
  6. Step 6: Final answer
    x = 705.00

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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.